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Finding the Fourth Proportional to 24,882.56, 37,323.84 and 6,414.56

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Solution

The fourth proportional to 24,882.56, 37,323.84 and 6,414.56 is: 9,621.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,882.56 : 37,323.84 = 6,414.56 : x
  2. Step 2: Convert to fraction form
    24,882.56/37,323.84 = 6,414.56/x
  3. Step 3: Cross multiply
    24,882.56x = 37,323.84 × 6,414.56
  4. Step 4: Simplify right side
    24,882.56x = 239,416,128.47
  5. Step 5: Solve for x
    x = 239,416,128.47/24,882.56
  6. Step 6: Final answer
    x = 9,621.84

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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.