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Finding the Fourth Proportional to 24,566, 36,849.24 and 6,098

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Solution

The fourth proportional to 24,566, 36,849.24 and 6,098 is: 9,147.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,566 : 36,849.24 = 6,098 : x
  2. Step 2: Convert to fraction form
    24,566/36,849.24 = 6,098/x
  3. Step 3: Cross multiply
    24,566x = 36,849.24 × 6,098
  4. Step 4: Simplify right side
    24,566x = 224,706,665.52
  5. Step 5: Solve for x
    x = 224,706,665.52/24,566
  6. Step 6: Final answer
    x = 9,147.06

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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.