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Finding the Fourth Proportional to 6,644.07, 9,969.75 and 2,486.97

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Solution

The fourth proportional to 6,644.07, 9,969.75 and 2,486.97 is: 3,731.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.07 : 9,969.75 = 2,486.97 : x
  2. Step 2: Convert to fraction form
    6,644.07/9,969.75 = 2,486.97/x
  3. Step 3: Cross multiply
    6,644.07x = 9,969.75 × 2,486.97
  4. Step 4: Simplify right side
    6,644.07x = 24,794,469.16
  5. Step 5: Solve for x
    x = 24,794,469.16/6,644.07
  6. Step 6: Final answer
    x = 3,731.82

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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.