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Finding the Fourth Proportional to 6,489.62, 9,732.25 and 2,106

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Solution

The fourth proportional to 6,489.62, 9,732.25 and 2,106 is: 3,158.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,489.62 : 9,732.25 = 2,106 : x
  2. Step 2: Convert to fraction form
    6,489.62/9,732.25 = 2,106/x
  3. Step 3: Cross multiply
    6,489.62x = 9,732.25 × 2,106
  4. Step 4: Simplify right side
    6,489.62x = 20,496,121.13
  5. Step 5: Solve for x
    x = 20,496,121.13/6,489.62
  6. Step 6: Final answer
    x = 3,158.29

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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.