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9-67.

A line segment, labeled, 1 fourth inch, on top, and 25 miles, on bottom.James lives in Columbus, OH, and wants to know how far he is from Indianapolis. On his map, the two cities are inches apart. At the bottom of the map, he sees the scale at right. Write a proportion and then find the distance from Columbus to Indianapolis.  

If one fourth of an inch is equal to miles, you will need to find how many one fourths are in one and three fourths. Can you first find how many one fourths are in ?

James drew this diagram to help find how many one fourths are in . Can you complete the diagram to find how many one fourths are in three fourths?

A circle divided into 4 equal pie shaped pieces all shaded.

A circle divided into 4 equal pie shaped pieces, three of which are shaded.

The diagrams show that there are one fourths in one and three fourths. Use multiplication and the scale above to find how many miles there are from Columbus to Indianapolis.

James lives miles from Indianapolis. Did you remember to explain how you know?