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Finding the Fourth Proportional to 6,270.70, 9,404.85 and 3,149.86

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Solution

The fourth proportional to 6,270.70, 9,404.85 and 3,149.86 is: 4,724.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,270.70 : 9,404.85 = 3,149.86 : x
  2. Step 2: Convert to fraction form
    6,270.70/9,404.85 = 3,149.86/x
  3. Step 3: Cross multiply
    6,270.70x = 9,404.85 × 3,149.86
  4. Step 4: Simplify right side
    6,270.70x = 29,623,960.82
  5. Step 5: Solve for x
    x = 29,623,960.82/6,270.70
  6. Step 6: Final answer
    x = 4,724.19

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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.