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Finding the Fourth Proportional to 6,691.59, 9,234.27 and 3,707.42

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Solution

The fourth proportional to 6,691.59, 9,234.27 and 3,707.42 is: 5,116.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,691.59 : 9,234.27 = 3,707.42 : x
  2. Step 2: Convert to fraction form
    6,691.59/9,234.27 = 3,707.42/x
  3. Step 3: Cross multiply
    6,691.59x = 9,234.27 × 3,707.42
  4. Step 4: Simplify right side
    6,691.59x = 34,235,271.11
  5. Step 5: Solve for x
    x = 34,235,271.11/6,691.59
  6. Step 6: Final answer
    x = 5,116.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.