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Example:

           2   6
                   Write the original proportion.
           3   9

     9 2 6 3       Use the cross product property.


                   If the cross products are equal, then
       18 18
                   it is a proportion.
Example:

           2   6
                    Write the original proportion.
           x   9

     9 2 6 x        Use the cross product property.

       18      6x   Divide both sides by 6 to isolate the
        6      6    variable, then simplify.

           3   x
If the model is 5 inches tall, how tall is the actual building in
feet? To find the actual height of the building, use the ratio
       from the previous step to write a proportion to represent
       the question above.
      4 inches   5 inches
      15 feet        x
          4 x    5 15 Use the cross product.
            4x   75
                            Isolate the variable, then simplify.
            4     4
          x 18.75 feet      Don’t forget your units.

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Proportions review

  • 1.
  • 2. Example: 2 6 Write the original proportion. 3 9 9 2 6 3 Use the cross product property. If the cross products are equal, then 18 18 it is a proportion.
  • 3. Example: 2 6 Write the original proportion. x 9 9 2 6 x Use the cross product property. 18 6x Divide both sides by 6 to isolate the 6 6 variable, then simplify. 3 x
  • 4. If the model is 5 inches tall, how tall is the actual building in feet? To find the actual height of the building, use the ratio from the previous step to write a proportion to represent the question above. 4 inches 5 inches 15 feet x 4 x 5 15 Use the cross product. 4x 75 Isolate the variable, then simplify. 4 4 x 18.75 feet Don’t forget your units.