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Finding the Fourth Proportional to 6,032.82, 9,049.14 and 1,650.27

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Solution

The fourth proportional to 6,032.82, 9,049.14 and 1,650.27 is: 2,475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,032.82 : 9,049.14 = 1,650.27 : x
  2. Step 2: Convert to fraction form
    6,032.82/9,049.14 = 1,650.27/x
  3. Step 3: Cross multiply
    6,032.82x = 9,049.14 × 1,650.27
  4. Step 4: Simplify right side
    6,032.82x = 14,933,524.27
  5. Step 5: Solve for x
    x = 14,933,524.27/6,032.82
  6. Step 6: Final answer
    x = 2,475.38

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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.