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Finding the Fourth Proportional to 6,665.34, 9,198.21 and 3,640.38

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Solution

The fourth proportional to 6,665.34, 9,198.21 and 3,640.38 is: 5,023.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,665.34 : 9,198.21 = 3,640.38 : x
  2. Step 2: Convert to fraction form
    6,665.34/9,198.21 = 3,640.38/x
  3. Step 3: Cross multiply
    6,665.34x = 9,198.21 × 3,640.38
  4. Step 4: Simplify right side
    6,665.34x = 33,484,979.72
  5. Step 5: Solve for x
    x = 33,484,979.72/6,665.34
  6. Step 6: Final answer
    x = 5,023.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.