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Finding the Fourth Proportional to 11,766.03, 16,234.32 and 6,661.61

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Solution

The fourth proportional to 11,766.03, 16,234.32 and 6,661.61 is: 9,191.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,766.03 : 16,234.32 = 6,661.61 : x
  2. Step 2: Convert to fraction form
    11,766.03/16,234.32 = 6,661.61/x
  3. Step 3: Cross multiply
    11,766.03x = 16,234.32 × 6,661.61
  4. Step 4: Simplify right side
    11,766.03x = 108,146,713.14
  5. Step 5: Solve for x
    x = 108,146,713.14/11,766.03
  6. Step 6: Final answer
    x = 9,191.44

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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.