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Finding the Fourth Proportional to 11,772.45, 16,250.24 and 7,794.84

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Solution

The fourth proportional to 11,772.45, 16,250.24 and 7,794.84 is: 10,759.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,772.45 : 16,250.24 = 7,794.84 : x
  2. Step 2: Convert to fraction form
    11,772.45/16,250.24 = 7,794.84/x
  3. Step 3: Cross multiply
    11,772.45x = 16,250.24 × 7,794.84
  4. Step 4: Simplify right side
    11,772.45x = 126,667,993.80
  5. Step 5: Solve for x
    x = 126,667,993.80/11,772.45
  6. Step 6: Final answer
    x = 10,759.70

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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.