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Finding the Fourth Proportional to 10,023.70, 13,891.12 and 9,882.76

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Solution

The fourth proportional to 10,023.70, 13,891.12 and 9,882.76 is: 13,695.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,023.70 : 13,891.12 = 9,882.76 : x
  2. Step 2: Convert to fraction form
    10,023.70/13,891.12 = 9,882.76/x
  3. Step 3: Cross multiply
    10,023.70x = 13,891.12 × 9,882.76
  4. Step 4: Simplify right side
    10,023.70x = 137,282,605.09
  5. Step 5: Solve for x
    x = 137,282,605.09/10,023.70
  6. Step 6: Final answer
    x = 13,695.80

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.