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Finding the Fourth Proportional to 6,404.60, 9,614.70 and 4,064.60

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Solution

The fourth proportional to 6,404.60, 9,614.70 and 4,064.60 is: 6,101.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,404.60 : 9,614.70 = 4,064.60 : x
  2. Step 2: Convert to fraction form
    6,404.60/9,614.70 = 4,064.60/x
  3. Step 3: Cross multiply
    6,404.60x = 9,614.70 × 4,064.60
  4. Step 4: Simplify right side
    6,404.60x = 39,079,909.62
  5. Step 5: Solve for x
    x = 39,079,909.62/6,404.60
  6. Step 6: Final answer
    x = 6,101.85

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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.