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Finding the Fourth Proportional to 6,338.88, 9,502.92 and 2,446.02

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Solution

The fourth proportional to 6,338.88, 9,502.92 and 2,446.02 is: 3,666.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,338.88 : 9,502.92 = 2,446.02 : x
  2. Step 2: Convert to fraction form
    6,338.88/9,502.92 = 2,446.02/x
  3. Step 3: Cross multiply
    6,338.88x = 9,502.92 × 2,446.02
  4. Step 4: Simplify right side
    6,338.88x = 23,244,332.38
  5. Step 5: Solve for x
    x = 23,244,332.38/6,338.88
  6. Step 6: Final answer
    x = 3,666.95

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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.