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Finding the Fourth Proportional to 10,882.70, 16,329.04 and 6,449.15

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Solution

The fourth proportional to 10,882.70, 16,329.04 and 6,449.15 is: 9,676.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,882.70 : 16,329.04 = 6,449.15 : x
  2. Step 2: Convert to fraction form
    10,882.70/16,329.04 = 6,449.15/x
  3. Step 3: Cross multiply
    10,882.70x = 16,329.04 × 6,449.15
  4. Step 4: Simplify right side
    10,882.70x = 105,308,489.29
  5. Step 5: Solve for x
    x = 105,308,489.29/10,882.70
  6. Step 6: Final answer
    x = 9,676.69

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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.