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Finding the Fourth Proportional to 9,306.62, 13,949.90 and 3,757.10

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Solution

The fourth proportional to 9,306.62, 13,949.90 and 3,757.10 is: 5,631.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,306.62 : 13,949.90 = 3,757.10 : x
  2. Step 2: Convert to fraction form
    9,306.62/13,949.90 = 3,757.10/x
  3. Step 3: Cross multiply
    9,306.62x = 13,949.90 × 3,757.10
  4. Step 4: Simplify right side
    9,306.62x = 52,411,150.50
  5. Step 5: Solve for x
    x = 52,411,150.50/9,306.62
  6. Step 6: Final answer
    x = 5,631.60

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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.