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Finding the Fourth Proportional to 10,882.60, 16,340.10 and 7,610.20

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Solution

The fourth proportional to 10,882.60, 16,340.10 and 7,610.20 is: 11,426.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.60 : 16,340.10 = 7,610.20 : x
  2. Step 2: Convert to fraction form
    10,882.60/16,340.10 = 7,610.20/x
  3. Step 3: Cross multiply
    10,882.60x = 16,340.10 × 7,610.20
  4. Step 4: Simplify right side
    10,882.60x = 124,351,429.02
  5. Step 5: Solve for x
    x = 124,351,429.02/10,882.60
  6. Step 6: Final answer
    x = 11,426.63

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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.