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Finding the Fourth Proportional to 6,571, 9,067.98 and 3,777.04

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Solution

The fourth proportional to 6,571, 9,067.98 and 3,777.04 is: 5,212.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571 : 9,067.98 = 3,777.04 : x
  2. Step 2: Convert to fraction form
    6,571/9,067.98 = 3,777.04/x
  3. Step 3: Cross multiply
    6,571x = 9,067.98 × 3,777.04
  4. Step 4: Simplify right side
    6,571x = 34,250,123.18
  5. Step 5: Solve for x
    x = 34,250,123.18/6,571
  6. Step 6: Final answer
    x = 5,212.32

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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.