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Finding the Fourth Proportional to 24,734.43, 37,102.05 and 7,205.22

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Solution

The fourth proportional to 24,734.43, 37,102.05 and 7,205.22 is: 10,807.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,734.43 : 37,102.05 = 7,205.22 : x
  2. Step 2: Convert to fraction form
    24,734.43/37,102.05 = 7,205.22/x
  3. Step 3: Cross multiply
    24,734.43x = 37,102.05 × 7,205.22
  4. Step 4: Simplify right side
    24,734.43x = 267,328,432.70
  5. Step 5: Solve for x
    x = 267,328,432.70/24,734.43
  6. Step 6: Final answer
    x = 10,807.95

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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.