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Finding the Fourth Proportional to 6,845, 10,267.68 and 2,228

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Solution

The fourth proportional to 6,845, 10,267.68 and 2,228 is: 3,342.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,845 : 10,267.68 = 2,228 : x
  2. Step 2: Convert to fraction form
    6,845/10,267.68 = 2,228/x
  3. Step 3: Cross multiply
    6,845x = 10,267.68 × 2,228
  4. Step 4: Simplify right side
    6,845x = 22,876,391.04
  5. Step 5: Solve for x
    x = 22,876,391.04/6,845
  6. Step 6: Final answer
    x = 3,342.06

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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.