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Finding the Fourth Proportional to 6,885, 10,327.86 and 2,268

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Solution

The fourth proportional to 6,885, 10,327.86 and 2,268 is: 3,402.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885 : 10,327.86 = 2,268 : x
  2. Step 2: Convert to fraction form
    6,885/10,327.86 = 2,268/x
  3. Step 3: Cross multiply
    6,885x = 10,327.86 × 2,268
  4. Step 4: Simplify right side
    6,885x = 23,423,586.48
  5. Step 5: Solve for x
    x = 23,423,586.48/6,885
  6. Step 6: Final answer
    x = 3,402.12

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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.