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Finding the Fourth Proportional to 24,375.12, 36,562.80 and 6,844.80

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Solution

The fourth proportional to 24,375.12, 36,562.80 and 6,844.80 is: 10,267.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,375.12 : 36,562.80 = 6,844.80 : x
  2. Step 2: Convert to fraction form
    24,375.12/36,562.80 = 6,844.80/x
  3. Step 3: Cross multiply
    24,375.12x = 36,562.80 × 6,844.80
  4. Step 4: Simplify right side
    24,375.12x = 250,265,053.44
  5. Step 5: Solve for x
    x = 250,265,053.44/24,375.12
  6. Step 6: Final answer
    x = 10,267.23

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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.