The ratio between the sides of the triangle are x : y = 3 : 4 and y : z = 6: 7. Find the ratio x : y : z?

3 : 10 : 28

9 : 12 : 14

3 : 5 : 14

None of these

Given:

x : y = 3 : 4

y : z = 6 : 7

To combine, equalize y in both ratios (LCM of 4 and 6 is 12):

x : y = 9 : 12

y : z = 12 : 14

Combine to get: x : y : z = 9 : 12 : 14