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Finding the Fourth Proportional to 6,531.93, 9,796.05 and 2,635.41

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Solution

The fourth proportional to 6,531.93, 9,796.05 and 2,635.41 is: 3,952.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,531.93 : 9,796.05 = 2,635.41 : x
  2. Step 2: Convert to fraction form
    6,531.93/9,796.05 = 2,635.41/x
  3. Step 3: Cross multiply
    6,531.93x = 9,796.05 × 2,635.41
  4. Step 4: Simplify right side
    6,531.93x = 25,816,608.13
  5. Step 5: Solve for x
    x = 25,816,608.13/6,531.93
  6. Step 6: Final answer
    x = 3,952.37

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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.