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Construct a graphical scale for representative fraction 1 : 50,000 in which distance is given in furlongs and miles.

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For graphical scale, to know the length of the line we need to make following calculations. 1:50,000 means 1 unit on map represents 50,000 units on ground.

In this way, 1 inch = 50,000 inches

6 inches = 50000 × \(\frac{6}{63360}\)

6 inches = 4.73 miles

Since 4.73 miles is not an integer, therefore we take 5 as an integer on number line. Now we need to make following calculations to present number line as 5 miles.

Since 6 inches = 4.73 miles

Therefore 5 miles = 6 × \(\frac{5}{4.73}\)

5 miles will be represented by 6.34 inches.

We can make the graph by following steps:

First of all draw a 6.34 inches line and divide it in 5 important parts. Except one part from the left, let us give all parts a distance of 1.268 inch. Now divide the first part in 4 equal parts and each part will be equal to 0.32 inch.

graphical scale

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