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Finding the Fourth Proportional to 7,167.60, 10,734.12 and 6,614.64

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Solution

The fourth proportional to 7,167.60, 10,734.12 and 6,614.64 is: 9,906.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,167.60 : 10,734.12 = 6,614.64 : x
  2. Step 2: Convert to fraction form
    7,167.60/10,734.12 = 6,614.64/x
  3. Step 3: Cross multiply
    7,167.60x = 10,734.12 × 6,614.64
  4. Step 4: Simplify right side
    7,167.60x = 71,002,339.52
  5. Step 5: Solve for x
    x = 71,002,339.52/7,167.60
  6. Step 6: Final answer
    x = 9,906.01

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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.