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Finding the Fourth Proportional to 6,801.70, 10,198.67 and 3,467.89

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Solution

The fourth proportional to 6,801.70, 10,198.67 and 3,467.89 is: 5,199.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,801.70 : 10,198.67 = 3,467.89 : x
  2. Step 2: Convert to fraction form
    6,801.70/10,198.67 = 3,467.89/x
  3. Step 3: Cross multiply
    6,801.70x = 10,198.67 × 3,467.89
  4. Step 4: Simplify right side
    6,801.70x = 35,367,856.82
  5. Step 5: Solve for x
    x = 35,367,856.82/6,801.70
  6. Step 6: Final answer
    x = 5,199.86

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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.