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Finding the Fourth Proportional to 6,226.50, 9,340.26 and 2,529

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Solution

The fourth proportional to 6,226.50, 9,340.26 and 2,529 is: 3,793.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.50 : 9,340.26 = 2,529 : x
  2. Step 2: Convert to fraction form
    6,226.50/9,340.26 = 2,529/x
  3. Step 3: Cross multiply
    6,226.50x = 9,340.26 × 2,529
  4. Step 4: Simplify right side
    6,226.50x = 23,621,517.54
  5. Step 5: Solve for x
    x = 23,621,517.54/6,226.50
  6. Step 6: Final answer
    x = 3,793.71

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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.