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Finding the Fourth Proportional to 6,311.90, 8,711.07 and 3,794.83

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Solution

The fourth proportional to 6,311.90, 8,711.07 and 3,794.83 is: 5,237.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.90 : 8,711.07 = 3,794.83 : x
  2. Step 2: Convert to fraction form
    6,311.90/8,711.07 = 3,794.83/x
  3. Step 3: Cross multiply
    6,311.90x = 8,711.07 × 3,794.83
  4. Step 4: Simplify right side
    6,311.90x = 33,057,029.77
  5. Step 5: Solve for x
    x = 33,057,029.77/6,311.90
  6. Step 6: Final answer
    x = 5,237.25

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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.