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Finding the Fourth Proportional to 6,178.62, 9,266.31 and 1,794.90

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Solution

The fourth proportional to 6,178.62, 9,266.31 and 1,794.90 is: 2,691.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,178.62 : 9,266.31 = 1,794.90 : x
  2. Step 2: Convert to fraction form
    6,178.62/9,266.31 = 1,794.90/x
  3. Step 3: Cross multiply
    6,178.62x = 9,266.31 × 1,794.90
  4. Step 4: Simplify right side
    6,178.62x = 16,632,099.82
  5. Step 5: Solve for x
    x = 16,632,099.82/6,178.62
  6. Step 6: Final answer
    x = 2,691.88

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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.