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Finding the Fourth Proportional to 6,884, 10,327.80 and 2,267

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Solution

The fourth proportional to 6,884, 10,327.80 and 2,267 is: 3,401.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884 : 10,327.80 = 2,267 : x
  2. Step 2: Convert to fraction form
    6,884/10,327.80 = 2,267/x
  3. Step 3: Cross multiply
    6,884x = 10,327.80 × 2,267
  4. Step 4: Simplify right side
    6,884x = 23,413,122.60
  5. Step 5: Solve for x
    x = 23,413,122.60/6,884
  6. Step 6: Final answer
    x = 3,401.09

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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.