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Finding the Fourth Proportional to 11,951.52, 16,475.04 and 8,409.12

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Solution

The fourth proportional to 11,951.52, 16,475.04 and 8,409.12 is: 11,591.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,951.52 : 16,475.04 = 8,409.12 : x
  2. Step 2: Convert to fraction form
    11,951.52/16,475.04 = 8,409.12/x
  3. Step 3: Cross multiply
    11,951.52x = 16,475.04 × 8,409.12
  4. Step 4: Simplify right side
    11,951.52x = 138,540,588.36
  5. Step 5: Solve for x
    x = 138,540,588.36/11,951.52
  6. Step 6: Final answer
    x = 11,591.88

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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.