such as : If 1/4 inch on a map represents 8 miles, how many miles are represented by 3 and 3/4 inches on the map?

The easiest way to set this up is as a proportion:

3 3/4 x

------ = ------- where x is the unknown number of miles represented by 3 3/4 inches

(1/4) 8

The ratio of 3 3/4 inches to 1/4 inch is the same as the unknown x miles is to 8 miles. Now solve for x.

Well since the answer cat is now out of the bag, I'll go ahead and solve for x:

8*4*(15/4) = x

8*15 = x

120 miles = x

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