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Finding the Fourth Proportional to 12,251.04, 16,906.40 and 6,662

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Solution

The fourth proportional to 12,251.04, 16,906.40 and 6,662 is: 9,193.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.04 : 16,906.40 = 6,662 : x
  2. Step 2: Convert to fraction form
    12,251.04/16,906.40 = 6,662/x
  3. Step 3: Cross multiply
    12,251.04x = 16,906.40 × 6,662
  4. Step 4: Simplify right side
    12,251.04x = 112,630,436.80
  5. Step 5: Solve for x
    x = 112,630,436.80/12,251.04
  6. Step 6: Final answer
    x = 9,193.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.