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Finding the Fourth Proportional to 11,716.44, 16,170.18 and 6,682.44

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Solution

The fourth proportional to 11,716.44, 16,170.18 and 6,682.44 is: 9,222.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,716.44 : 16,170.18 = 6,682.44 : x
  2. Step 2: Convert to fraction form
    11,716.44/16,170.18 = 6,682.44/x
  3. Step 3: Cross multiply
    11,716.44x = 16,170.18 × 6,682.44
  4. Step 4: Simplify right side
    11,716.44x = 108,056,257.64
  5. Step 5: Solve for x
    x = 108,056,257.64/11,716.44
  6. Step 6: Final answer
    x = 9,222.62

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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.