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Finding the Fourth Proportional to 6,508.42, 9,766.52 and 5,979.05

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Solution

The fourth proportional to 6,508.42, 9,766.52 and 5,979.05 is: 8,972.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.42 : 9,766.52 = 5,979.05 : x
  2. Step 2: Convert to fraction form
    6,508.42/9,766.52 = 5,979.05/x
  3. Step 3: Cross multiply
    6,508.42x = 9,766.52 × 5,979.05
  4. Step 4: Simplify right side
    6,508.42x = 58,394,505.93
  5. Step 5: Solve for x
    x = 58,394,505.93/6,508.42
  6. Step 6: Final answer
    x = 8,972.15

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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.