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Finding the Fourth Proportional to 11,758.44, 17,628.45 and 8,049.45

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Solution

The fourth proportional to 11,758.44, 17,628.45 and 8,049.45 is: 12,067.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,758.44 : 17,628.45 = 8,049.45 : x
  2. Step 2: Convert to fraction form
    11,758.44/17,628.45 = 8,049.45/x
  3. Step 3: Cross multiply
    11,758.44x = 17,628.45 × 8,049.45
  4. Step 4: Simplify right side
    11,758.44x = 141,899,326.85
  5. Step 5: Solve for x
    x = 141,899,326.85/11,758.44
  6. Step 6: Final answer
    x = 12,067.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.