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Finding the Fourth Proportional to 6,778.42, 10,167.56 and 1,847.95

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Solution

The fourth proportional to 6,778.42, 10,167.56 and 1,847.95 is: 2,771.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,778.42 : 10,167.56 = 1,847.95 : x
  2. Step 2: Convert to fraction form
    6,778.42/10,167.56 = 1,847.95/x
  3. Step 3: Cross multiply
    6,778.42x = 10,167.56 × 1,847.95
  4. Step 4: Simplify right side
    6,778.42x = 18,789,142.50
  5. Step 5: Solve for x
    x = 18,789,142.50/6,778.42
  6. Step 6: Final answer
    x = 2,771.91

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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.