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Finding the Fourth Proportional to 12,251.80, 16,901.70 and 8,274.20

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Solution

The fourth proportional to 12,251.80, 16,901.70 and 8,274.20 is: 11,414.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.80 : 16,901.70 = 8,274.20 : x
  2. Step 2: Convert to fraction form
    12,251.80/16,901.70 = 8,274.20/x
  3. Step 3: Cross multiply
    12,251.80x = 16,901.70 × 8,274.20
  4. Step 4: Simplify right side
    12,251.80x = 139,848,046.14
  5. Step 5: Solve for x
    x = 139,848,046.14/12,251.80
  6. Step 6: Final answer
    x = 11,414.49

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1.5x scale

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.