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Finding the Fourth Proportional to 24,961, 37,443.93 and 6,493

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Solution

The fourth proportional to 24,961, 37,443.93 and 6,493 is: 9,740.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,961 : 37,443.93 = 6,493 : x
  2. Step 2: Convert to fraction form
    24,961/37,443.93 = 6,493/x
  3. Step 3: Cross multiply
    24,961x = 37,443.93 × 6,493
  4. Step 4: Simplify right side
    24,961x = 243,123,437.49
  5. Step 5: Solve for x
    x = 243,123,437.49/24,961
  6. Step 6: Final answer
    x = 9,740.13

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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.