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Finding the Fourth Proportional to 6,644.46, 9,169.70 and 3,991.98

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Solution

The fourth proportional to 6,644.46, 9,169.70 and 3,991.98 is: 5,509.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.46 : 9,169.70 = 3,991.98 : x
  2. Step 2: Convert to fraction form
    6,644.46/9,169.70 = 3,991.98/x
  3. Step 3: Cross multiply
    6,644.46x = 9,169.70 × 3,991.98
  4. Step 4: Simplify right side
    6,644.46x = 36,605,259.01
  5. Step 5: Solve for x
    x = 36,605,259.01/6,644.46
  6. Step 6: Final answer
    x = 5,509.14

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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.