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Finding the Fourth Proportional to 10,685.58, 16,034.10 and 4,449.90

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Solution

The fourth proportional to 10,685.58, 16,034.10 and 4,449.90 is: 6,677.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,685.58 : 16,034.10 = 4,449.90 : x
  2. Step 2: Convert to fraction form
    10,685.58/16,034.10 = 4,449.90/x
  3. Step 3: Cross multiply
    10,685.58x = 16,034.10 × 4,449.90
  4. Step 4: Simplify right side
    10,685.58x = 71,350,141.59
  5. Step 5: Solve for x
    x = 71,350,141.59/10,685.58
  6. Step 6: Final answer
    x = 6,677.24

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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.