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Finding the Fourth Proportional to 12,207.60, 16,845.57 and 8,234.10

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Solution

The fourth proportional to 12,207.60, 16,845.57 and 8,234.10 is: 11,362.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,207.60 : 16,845.57 = 8,234.10 : x
  2. Step 2: Convert to fraction form
    12,207.60/16,845.57 = 8,234.10/x
  3. Step 3: Cross multiply
    12,207.60x = 16,845.57 × 8,234.10
  4. Step 4: Simplify right side
    12,207.60x = 138,708,107.94
  5. Step 5: Solve for x
    x = 138,708,107.94/12,207.60
  6. Step 6: Final answer
    x = 11,362.44

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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.