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Finding the Fourth Proportional to 11,616.20, 16,014.86 and 9,234.09

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Solution

The fourth proportional to 11,616.20, 16,014.86 and 9,234.09 is: 12,730.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.20 : 16,014.86 = 9,234.09 : x
  2. Step 2: Convert to fraction form
    11,616.20/16,014.86 = 9,234.09/x
  3. Step 3: Cross multiply
    11,616.20x = 16,014.86 × 9,234.09
  4. Step 4: Simplify right side
    11,616.20x = 147,882,612.41
  5. Step 5: Solve for x
    x = 147,882,612.41/11,616.20
  6. Step 6: Final answer
    x = 12,730.73

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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.