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Finding the Fourth Proportional to 25,157.72, 37,713.14 and 8,506.11

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Solution

The fourth proportional to 25,157.72, 37,713.14 and 8,506.11 is: 12,751.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,157.72 : 37,713.14 = 8,506.11 : x
  2. Step 2: Convert to fraction form
    25,157.72/37,713.14 = 8,506.11/x
  3. Step 3: Cross multiply
    25,157.72x = 37,713.14 × 8,506.11
  4. Step 4: Simplify right side
    25,157.72x = 320,792,074.75
  5. Step 5: Solve for x
    x = 320,792,074.75/25,157.72
  6. Step 6: Final answer
    x = 12,751.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.