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Finding the Fourth Proportional to 6,141.62, 9,198.16 and 3,670.92

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Solution

The fourth proportional to 6,141.62, 9,198.16 and 3,670.92 is: 5,497.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.62 : 9,198.16 = 3,670.92 : x
  2. Step 2: Convert to fraction form
    6,141.62/9,198.16 = 3,670.92/x
  3. Step 3: Cross multiply
    6,141.62x = 9,198.16 × 3,670.92
  4. Step 4: Simplify right side
    6,141.62x = 33,765,700.33
  5. Step 5: Solve for x
    x = 33,765,700.33/6,141.62
  6. Step 6: Final answer
    x = 5,497.85

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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.