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Finding the Fourth Proportional to 6,198.66, 8,566.43 and 5,077.82

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Solution

The fourth proportional to 6,198.66, 8,566.43 and 5,077.82 is: 7,017.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.66 : 8,566.43 = 5,077.82 : x
  2. Step 2: Convert to fraction form
    6,198.66/8,566.43 = 5,077.82/x
  3. Step 3: Cross multiply
    6,198.66x = 8,566.43 × 5,077.82
  4. Step 4: Simplify right side
    6,198.66x = 43,498,785.61
  5. Step 5: Solve for x
    x = 43,498,785.61/6,198.66
  6. Step 6: Final answer
    x = 7,017.45

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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.