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Finding the Fourth Proportional to 8,286.62, 12,434.79 and 5,944.10

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Solution

The fourth proportional to 8,286.62, 12,434.79 and 5,944.10 is: 8,919.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.62 : 12,434.79 = 5,944.10 : x
  2. Step 2: Convert to fraction form
    8,286.62/12,434.79 = 5,944.10/x
  3. Step 3: Cross multiply
    8,286.62x = 12,434.79 × 5,944.10
  4. Step 4: Simplify right side
    8,286.62x = 73,913,573.07
  5. Step 5: Solve for x
    x = 73,913,573.07/8,286.62
  6. Step 6: Final answer
    x = 8,919.63

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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.