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Finding the Fourth Proportional to 6,337.85, 9,507.12 and 1,658.02

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Solution

The fourth proportional to 6,337.85, 9,507.12 and 1,658.02 is: 2,487.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.85 : 9,507.12 = 1,658.02 : x
  2. Step 2: Convert to fraction form
    6,337.85/9,507.12 = 1,658.02/x
  3. Step 3: Cross multiply
    6,337.85x = 9,507.12 × 1,658.02
  4. Step 4: Simplify right side
    6,337.85x = 15,762,992.27
  5. Step 5: Solve for x
    x = 15,762,992.27/6,337.85
  6. Step 6: Final answer
    x = 2,487.12

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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.