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Finding the Fourth Proportional to 6,909.50, 10,366.28 and 2,229.42

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Solution

The fourth proportional to 6,909.50, 10,366.28 and 2,229.42 is: 3,344.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.50 : 10,366.28 = 2,229.42 : x
  2. Step 2: Convert to fraction form
    6,909.50/10,366.28 = 2,229.42/x
  3. Step 3: Cross multiply
    6,909.50x = 10,366.28 × 2,229.42
  4. Step 4: Simplify right side
    6,909.50x = 23,110,791.96
  5. Step 5: Solve for x
    x = 23,110,791.96/6,909.50
  6. Step 6: Final answer
    x = 3,344.79

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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.