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Finding the Fourth Proportional to 6,508.81, 9,761.19 and 2,348.27

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Solution

The fourth proportional to 6,508.81, 9,761.19 and 2,348.27 is: 3,521.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508.81 : 9,761.19 = 2,348.27 : x
  2. Step 2: Convert to fraction form
    6,508.81/9,761.19 = 2,348.27/x
  3. Step 3: Cross multiply
    6,508.81x = 9,761.19 × 2,348.27
  4. Step 4: Simplify right side
    6,508.81x = 22,921,961.15
  5. Step 5: Solve for x
    x = 22,921,961.15/6,508.81
  6. Step 6: Final answer
    x = 3,521.68

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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.