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Finding the Fourth Proportional to 4,067, 6,096.88 and 1,469.36

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Solution

The fourth proportional to 4,067, 6,096.88 and 1,469.36 is: 2,202.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067 : 6,096.88 = 1,469.36 : x
  2. Step 2: Convert to fraction form
    4,067/6,096.88 = 1,469.36/x
  3. Step 3: Cross multiply
    4,067x = 6,096.88 × 1,469.36
  4. Step 4: Simplify right side
    4,067x = 8,958,511.60
  5. Step 5: Solve for x
    x = 8,958,511.60/4,067
  6. Step 6: Final answer
    x = 2,202.73

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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.