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Finding the Fourth Proportional to 24,843.14, 37,264.66 and 6,375.14

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Solution

The fourth proportional to 24,843.14, 37,264.66 and 6,375.14 is: 9,562.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,843.14 : 37,264.66 = 6,375.14 : x
  2. Step 2: Convert to fraction form
    24,843.14/37,264.66 = 6,375.14/x
  3. Step 3: Cross multiply
    24,843.14x = 37,264.66 × 6,375.14
  4. Step 4: Simplify right side
    24,843.14x = 237,567,424.55
  5. Step 5: Solve for x
    x = 237,567,424.55/24,843.14
  6. Step 6: Final answer
    x = 9,562.70

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1.5x scale

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.