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Finding the Fourth Proportional to 6,033.14, 9,049.72 and 1,650.27

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Solution

The fourth proportional to 6,033.14, 9,049.72 and 1,650.27 is: 2,475.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,033.14 : 9,049.72 = 1,650.27 : x
  2. Step 2: Convert to fraction form
    6,033.14/9,049.72 = 1,650.27/x
  3. Step 3: Cross multiply
    6,033.14x = 9,049.72 × 1,650.27
  4. Step 4: Simplify right side
    6,033.14x = 14,934,481.42
  5. Step 5: Solve for x
    x = 14,934,481.42/6,033.14
  6. Step 6: Final answer
    x = 2,475.41

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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.