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Finding the Fourth Proportional to 6,193.88, 8,541.87 and 4,068.56

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Solution

The fourth proportional to 6,193.88, 8,541.87 and 4,068.56 is: 5,610.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.88 : 8,541.87 = 4,068.56 : x
  2. Step 2: Convert to fraction form
    6,193.88/8,541.87 = 4,068.56/x
  3. Step 3: Cross multiply
    6,193.88x = 8,541.87 × 4,068.56
  4. Step 4: Simplify right side
    6,193.88x = 34,753,067.90
  5. Step 5: Solve for x
    x = 34,753,067.90/6,193.88
  6. Step 6: Final answer
    x = 5,610.88

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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.