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Finding the Fourth Proportional to 6,049.57, 9,072.72 and 1,665.97

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Solution

The fourth proportional to 6,049.57, 9,072.72 and 1,665.97 is: 2,498.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,049.57 : 9,072.72 = 1,665.97 : x
  2. Step 2: Convert to fraction form
    6,049.57/9,072.72 = 1,665.97/x
  3. Step 3: Cross multiply
    6,049.57x = 9,072.72 × 1,665.97
  4. Step 4: Simplify right side
    6,049.57x = 15,114,879.34
  5. Step 5: Solve for x
    x = 15,114,879.34/6,049.57
  6. Step 6: Final answer
    x = 2,498.50

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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.