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Finding the Fourth Proportional to 24,280.80, 36,419.94 and 6,750.78

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Solution

The fourth proportional to 24,280.80, 36,419.94 and 6,750.78 is: 10,125.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,280.80 : 36,419.94 = 6,750.78 : x
  2. Step 2: Convert to fraction form
    24,280.80/36,419.94 = 6,750.78/x
  3. Step 3: Cross multiply
    24,280.80x = 36,419.94 × 6,750.78
  4. Step 4: Simplify right side
    24,280.80x = 245,863,002.55
  5. Step 5: Solve for x
    x = 245,863,002.55/24,280.80
  6. Step 6: Final answer
    x = 10,125.82

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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.