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Finding the Fourth Proportional to 6,600.88, 9,871.24 and 4,936.16

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Solution

The fourth proportional to 6,600.88, 9,871.24 and 4,936.16 is: 7,381.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,600.88 : 9,871.24 = 4,936.16 : x
  2. Step 2: Convert to fraction form
    6,600.88/9,871.24 = 4,936.16/x
  3. Step 3: Cross multiply
    6,600.88x = 9,871.24 × 4,936.16
  4. Step 4: Simplify right side
    6,600.88x = 48,726,020.04
  5. Step 5: Solve for x
    x = 48,726,020.04/6,600.88
  6. Step 6: Final answer
    x = 7,381.75

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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.