Final answer:
Equivalent ratios to 4:14 can be found by simplifying the initial ratio to 2:7 and finding multiples of this simplified ratio. Another method involves using direct proportionality to establish equivalent fractions.
Step-by-step explanation:
The ratio 4:14 can be simplified by dividing both terms by their greatest common divisor, which is 2. This would result in the ratio 2:7. Therefore, any multiples of this ratio are considered equivalent ratios to 4:14. For example, multiplying both terms by 3 gives us the ratio 6:21 which is also equivalent. Similarly, multiplying by 4 would give 8:28, and so forth.
Another way to find equivalent ratios is to use direct proportionality or equivalent fractions. If 4/14 = x/y, where x and y are whole numbers, then x and y form an equivalent ratio. For instance, if we say x = 8, we can solve for y to find it is 28. Thus, the ratio 8:28 is equivalent to 4:14.
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