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Finding the Fourth Proportional to 6,469.80, 9,711.90 and 6,046.80

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Solution

The fourth proportional to 6,469.80, 9,711.90 and 6,046.80 is: 9,076.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.80 : 9,711.90 = 6,046.80 : x
  2. Step 2: Convert to fraction form
    6,469.80/9,711.90 = 6,046.80/x
  3. Step 3: Cross multiply
    6,469.80x = 9,711.90 × 6,046.80
  4. Step 4: Simplify right side
    6,469.80x = 58,725,916.92
  5. Step 5: Solve for x
    x = 58,725,916.92/6,469.80
  6. Step 6: Final answer
    x = 9,076.93

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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.