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Finding the Fourth Proportional to 6,486.53, 9,732.49 and 3,199.66

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Solution

The fourth proportional to 6,486.53, 9,732.49 and 3,199.66 is: 4,800.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,486.53 : 9,732.49 = 3,199.66 : x
  2. Step 2: Convert to fraction form
    6,486.53/9,732.49 = 3,199.66/x
  3. Step 3: Cross multiply
    6,486.53x = 9,732.49 × 3,199.66
  4. Step 4: Simplify right side
    6,486.53x = 31,140,626.62
  5. Step 5: Solve for x
    x = 31,140,626.62/6,486.53
  6. Step 6: Final answer
    x = 4,800.82

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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.