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Finding the Fourth Proportional to 6,508.97, 9,761.14 and 2,347.86

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Solution

The fourth proportional to 6,508.97, 9,761.14 and 2,347.86 is: 3,520.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.97 : 9,761.14 = 2,347.86 : x
  2. Step 2: Convert to fraction form
    6,508.97/9,761.14 = 2,347.86/x
  3. Step 3: Cross multiply
    6,508.97x = 9,761.14 × 2,347.86
  4. Step 4: Simplify right side
    6,508.97x = 22,917,790.16
  5. Step 5: Solve for x
    x = 22,917,790.16/6,508.97
  6. Step 6: Final answer
    x = 3,520.95

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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.