Question

(image below)

To find the value of y in this proportion you must divide 54 by:

2
3
4
6

Answer 1

I've already come up with this

108 (2*6*9) = 3 (x*y)

but I am noy sure if this is correct.

Answer 2

*not

Answer 3

In the case of having a three-proportion you can choose any pair you so desire in order to find any value you like.
For example: \[\frac{ a }{ b }=\frac{ h }{ k }=\frac{ x }{ y }\]
I can use the transitive axiom of mathematics to conclude the following:
\[\frac{ x }{ y }=\frac{ a }{ b }\]
\[\frac{ h }{ k }=\frac{ a }{ b }\]
Just because between those three proportions were a "=" sign I can choose any pair i conveniently like and make things simpler.

Answer 4

okay so I can do 2/3 = 9/y, no that wouldn't add up..

Answer 5

Try solving for "y" there.

Answer 6

well 3 * 9 is 27 if I were to divide by 2 it would leave me with 13.5. that is not one of the answer choices though.

Answer 7

hint: 9/y is the simplified form of the given info.

Answer 8

This means that you have to multiply both numerator and denominator by a number in such way that the numerator becomes 54.

Answer 9

Is this problem solved? if not I can help. u like to?

Answer 10

Yeah the problem has been solved, I got the answer wrong but I've already submitted it.

Answer 11

any other question in any other problem?
I'm just too free that i've got so bored.