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Finding the Fourth Proportional to 11,067, 16,597.14 and 3,274.20

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Solution

The fourth proportional to 11,067, 16,597.14 and 3,274.20 is: 4,910.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,067 : 16,597.14 = 3,274.20 : x
  2. Step 2: Convert to fraction form
    11,067/16,597.14 = 3,274.20/x
  3. Step 3: Cross multiply
    11,067x = 16,597.14 × 3,274.20
  4. Step 4: Simplify right side
    11,067x = 54,342,355.79
  5. Step 5: Solve for x
    x = 54,342,355.79/11,067
  6. Step 6: Final answer
    x = 4,910.31

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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.