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Finding the Fourth Proportional to 6,311.72, 8,713.65 and 3,794.44

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Solution

The fourth proportional to 6,311.72, 8,713.65 and 3,794.44 is: 5,238.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.72 : 8,713.65 = 3,794.44 : x
  2. Step 2: Convert to fraction form
    6,311.72/8,713.65 = 3,794.44/x
  3. Step 3: Cross multiply
    6,311.72x = 8,713.65 × 3,794.44
  4. Step 4: Simplify right side
    6,311.72x = 33,063,422.11
  5. Step 5: Solve for x
    x = 33,063,422.11/6,311.72
  6. Step 6: Final answer
    x = 5,238.42

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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.