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Finding the Fourth Proportional to 12,251.60, 16,906.74 and 6,662.60

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Solution

The fourth proportional to 12,251.60, 16,906.74 and 6,662.60 is: 9,194.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,251.60 : 16,906.74 = 6,662.60 : x
  2. Step 2: Convert to fraction form
    12,251.60/16,906.74 = 6,662.60/x
  3. Step 3: Cross multiply
    12,251.60x = 16,906.74 × 6,662.60
  4. Step 4: Simplify right side
    12,251.60x = 112,642,845.92
  5. Step 5: Solve for x
    x = 112,642,845.92/12,251.60
  6. Step 6: Final answer
    x = 9,194.13

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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.