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Finding the Fourth Proportional to 6,349.20, 9,524 and 1,966.69

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Solution

The fourth proportional to 6,349.20, 9,524 and 1,966.69 is: 2,950.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.20 : 9,524 = 1,966.69 : x
  2. Step 2: Convert to fraction form
    6,349.20/9,524 = 1,966.69/x
  3. Step 3: Cross multiply
    6,349.20x = 9,524 × 1,966.69
  4. Step 4: Simplify right side
    6,349.20x = 18,730,755.56
  5. Step 5: Solve for x
    x = 18,730,755.56/6,349.20
  6. Step 6: Final answer
    x = 2,950.10

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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.