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Finding the Fourth Proportional to 6,016.38, 9,024.54 and 1,633.82

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Solution

The fourth proportional to 6,016.38, 9,024.54 and 1,633.82 is: 2,450.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,016.38 : 9,024.54 = 1,633.82 : x
  2. Step 2: Convert to fraction form
    6,016.38/9,024.54 = 1,633.82/x
  3. Step 3: Cross multiply
    6,016.38x = 9,024.54 × 1,633.82
  4. Step 4: Simplify right side
    6,016.38x = 14,744,473.94
  5. Step 5: Solve for x
    x = 14,744,473.94/6,016.38
  6. Step 6: Final answer
    x = 2,450.72

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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.