Question

on the world globe, the distance between city A and city B is 6.875 inches. The two cities are actually 4469 miles apart. On the same globe, what would be the distance between cities C and city D, two cities that are actually 4761 miles apart? Use a proportion to solve this problem.

Answer 1

the distance between cities C and D is 7.3242 inches.

given:

• city A and city B is 6.875 inches, actually 4469 miles apart.

• city C and city D is x inches, actually 4761 miles apart

solve similarities:

`\hookrightarrow \sf (6.875)/(x) = (4469)/(4761)`

`\hookrightarrow \sf 4469(x) = 6.875*4761`

`\sf 4469x = 32731.875`

`\hookrightarrow \sf x = (32731.875)/(4469)`

`\hookrightarrow \sf x = 7.3242`

Answer 2

7.32 in (nearest hundredth)

or 7.324 in (nearest thousandth)

Explanation:

inches : miles

A : B = C : D

6.875 : 4469 = y : 4761

6.875 / 4469 = y / 4761

y = (6.875 / 4469) x 4761

y = 7.32 in (nearest hundredth)

y = 7.324 in (nearest thousandth)