Answer:
4:6 and 8:12 are equivalent ratios to 2:3 as you can see in the diagram below
4:6
_2_ _2_
_2_ _2_ _2_
8:12
_4_ _4_
_4_ _4_ _4_
Step-by-step explanation:
The diagrams of equivalent ratios represent the initial relation, in the image you can see each value is in a box so as the initial relation is 2:3 we have two boxes in the first row and three on the second. Now we have to find a number that added the times of the box, give us the other ratios 4:6 and 8:12
4:6
_2_ _2_ = 4
_2_ _2_ _2_ = 6
As 4 is 2 times 2 and 6 is 3 times 2, 4:6 is an equivalent ratio to 2:3 where 2 is the constant.
8:12
_4_ _4_ = 8
_4_ _4_ _4_ =12
As 8 is 2 times 4 and 6 is 3 times 4, 8:12 is an equivalent ratio to 2:3 where 4 is the constant.
To calculate the constant you may divide each of the corresponding values for example 4 divided by 2 is 2 and 6 divided by 3 is 2 then the constant for 4:6 is 2.
In the case of 8:12, 8 divided by 2 is 4 and 12 divided by 6 is 4 then the constan for 8:12 is 4
