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Finding the Fourth Proportional to 6,520.92, 9,788.82 and 4,957.08

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Solution

The fourth proportional to 6,520.92, 9,788.82 and 4,957.08 is: 7,441.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,520.92 : 9,788.82 = 4,957.08 : x
  2. Step 2: Convert to fraction form
    6,520.92/9,788.82 = 4,957.08/x
  3. Step 3: Cross multiply
    6,520.92x = 9,788.82 × 4,957.08
  4. Step 4: Simplify right side
    6,520.92x = 48,523,963.85
  5. Step 5: Solve for x
    x = 48,523,963.85/6,520.92
  6. Step 6: Final answer
    x = 7,441.28

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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.