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Finding the Fourth Proportional to 16,400.76, 24,601.12 and 7,034.73

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Solution

The fourth proportional to 16,400.76, 24,601.12 and 7,034.73 is: 10,552.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,400.76 : 24,601.12 = 7,034.73 : x
  2. Step 2: Convert to fraction form
    16,400.76/24,601.12 = 7,034.73/x
  3. Step 3: Cross multiply
    16,400.76x = 24,601.12 × 7,034.73
  4. Step 4: Simplify right side
    16,400.76x = 173,062,236.90
  5. Step 5: Solve for x
    x = 173,062,236.90/16,400.76
  6. Step 6: Final answer
    x = 10,552.09

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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.