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Finding the Fourth Proportional to 6,684, 10,026 and 2,067

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Solution

The fourth proportional to 6,684, 10,026 and 2,067 is: 3,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684 : 10,026 = 2,067 : x
  2. Step 2: Convert to fraction form
    6,684/10,026 = 2,067/x
  3. Step 3: Cross multiply
    6,684x = 10,026 × 2,067
  4. Step 4: Simplify right side
    6,684x = 20,723,742
  5. Step 5: Solve for x
    x = 20,723,742/6,684
  6. Step 6: Final answer
    x = 3,100.50

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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.