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Finding the Fourth Proportional to 6,433.52, 9,650.82 and 2,049.80

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Solution

The fourth proportional to 6,433.52, 9,650.82 and 2,049.80 is: 3,074.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.52 : 9,650.82 = 2,049.80 : x
  2. Step 2: Convert to fraction form
    6,433.52/9,650.82 = 2,049.80/x
  3. Step 3: Cross multiply
    6,433.52x = 9,650.82 × 2,049.80
  4. Step 4: Simplify right side
    6,433.52x = 19,782,250.84
  5. Step 5: Solve for x
    x = 19,782,250.84/6,433.52
  6. Step 6: Final answer
    x = 3,074.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.