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Finding the Fourth Proportional to 6,592.66, 9,851.17 and 6,469.54

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Solution

The fourth proportional to 6,592.66, 9,851.17 and 6,469.54 is: 9,667.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,592.66 : 9,851.17 = 6,469.54 : x
  2. Step 2: Convert to fraction form
    6,592.66/9,851.17 = 6,469.54/x
  3. Step 3: Cross multiply
    6,592.66x = 9,851.17 × 6,469.54
  4. Step 4: Simplify right side
    6,592.66x = 63,732,538.36
  5. Step 5: Solve for x
    x = 63,732,538.36/6,592.66
  6. Step 6: Final answer
    x = 9,667.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.