Final answer:
An equivalent ratio to 1:6 can be found by multiplying or dividing both terms of the original ratio by the same number, like 2:12, obtained by multiplying by 2.
Step-by-step explanation:
To find a ratio equivalent to 1:6, we need to multiply or divide both terms of the ratio by the same number. An example of an equivalent ratio can be found by multiplying both terms by 2, which gives us 2:12.
We can also form a proportion to find an equivalent ratio. For example, if we had a proportion where centimetres is the only unit and the ratio of 5/1 to 2.75/1 cm is given, setting these equal to each other would provide the equivalent ratios:
5/1 = 2.75/1 cm
In the context of scale measurements, if the scale factor is given as 2":3' (inches to feet), and the scale measurement is 6", then a proportion can help find the actual dimension.