- If	the	four	numbers,	39,	117,	17	and	y	are	in	proportion,	then	find	the	value	of	y

If the four numbers 39, 117, 17, and \( y \) are in proportion, they follow the rule of proportions:

\[
\frac{39}{117} = \frac{17}{y}
\]

Now, solve for \( y \):

1. Simplify \( \frac{39}{117} \):

\[
\frac{39}{117} = \frac{1}{3}
\]

So, we now have:

\[
\frac{1}{3} = \frac{17}{y}
\]

2. Cross-multiply to solve for \( y \):

\[
1 \times y = 3 \times 17
\]

\[
y = 51
\]

Thus, the value of \( y \) is \( 51 \).

Would you like more details on any of the steps?

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Here are 5 related questions:

1. What is the method to check if four numbers are in proportion?
2. How do you solve problems involving direct variation?
3. What are the properties of proportionality in mathematics?
4. How do you simplify ratios in general form?
5. Can you solve proportions when dealing with variables?

**Tip**: When solving proportions, cross-multiplication is a quick way to eliminate the denominators and solve for unknowns!

If the four numbers, 39, 117, 17 and y are in proportion, then find the value of y.

Learn how to find the missing value in a proportion with the numbers 39, 117, 17, and y. This step-by-step solution simplifies the ratio and uses cross-multiplication to solve for y, covering concepts of proportion and ratio. Ideal for students in Grades 6-8.

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