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Finding the Fourth Proportional to 11,965.44, 16,512.16 and 6,660.64

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Solution

The fourth proportional to 11,965.44, 16,512.16 and 6,660.64 is: 9,191.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,965.44 : 16,512.16 = 6,660.64 : x
  2. Step 2: Convert to fraction form
    11,965.44/16,512.16 = 6,660.64/x
  3. Step 3: Cross multiply
    11,965.44x = 16,512.16 × 6,660.64
  4. Step 4: Simplify right side
    11,965.44x = 109,981,553.38
  5. Step 5: Solve for x
    x = 109,981,553.38/11,965.44
  6. Step 6: Final answer
    x = 9,191.60

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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.