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Finding the Fourth Proportional to 6,154.86, 8,494.17 and 3,502.11

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Solution

The fourth proportional to 6,154.86, 8,494.17 and 3,502.11 is: 4,833.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.86 : 8,494.17 = 3,502.11 : x
  2. Step 2: Convert to fraction form
    6,154.86/8,494.17 = 3,502.11/x
  3. Step 3: Cross multiply
    6,154.86x = 8,494.17 × 3,502.11
  4. Step 4: Simplify right side
    6,154.86x = 29,747,517.70
  5. Step 5: Solve for x
    x = 29,747,517.70/6,154.86
  6. Step 6: Final answer
    x = 4,833.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.