Question

If 6:8 =r:48 find r

Answer 1

Notice that the ratio was amplified by a factor. This factor is unknown, and we'll call it x. This way,

`6\colon8\rightarrow6x\colon8x\rightarrow r\colon48`

Now, from here we can extract two things:

1.

`6x=r`

2.

`8x=48`

From the second fact we can get our amplification factor!

`8x=48\rightarrow x=(48)/(8)\Rightarrow x=6`

And then, we can find r :

`6x=r\rightarrow6(6)=r\rightarrow36=r`

Thereby, we can conclude that r is 36