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Finding the Fourth Proportional to 24,839, 37,260.66 and 6,371

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Solution

The fourth proportional to 24,839, 37,260.66 and 6,371 is: 9,557.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,839 : 37,260.66 = 6,371 : x
  2. Step 2: Convert to fraction form
    24,839/37,260.66 = 6,371/x
  3. Step 3: Cross multiply
    24,839x = 37,260.66 × 6,371
  4. Step 4: Simplify right side
    24,839x = 237,387,664.86
  5. Step 5: Solve for x
    x = 237,387,664.86/24,839
  6. Step 6: Final answer
    x = 9,557.05

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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.