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Finding the Fourth Proportional to 6,238.50, 9,350.46 and 3,463.85

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Solution

The fourth proportional to 6,238.50, 9,350.46 and 3,463.85 is: 5,191.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.50 : 9,350.46 = 3,463.85 : x
  2. Step 2: Convert to fraction form
    6,238.50/9,350.46 = 3,463.85/x
  3. Step 3: Cross multiply
    6,238.50x = 9,350.46 × 3,463.85
  4. Step 4: Simplify right side
    6,238.50x = 32,388,590.87
  5. Step 5: Solve for x
    x = 32,388,590.87/6,238.50
  6. Step 6: Final answer
    x = 5,191.73

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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.