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Finding the Fourth Proportional to 6,893.61, 10,333.14 and 3,198.33

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Solution

The fourth proportional to 6,893.61, 10,333.14 and 3,198.33 is: 4,794.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,893.61 : 10,333.14 = 3,198.33 : x
  2. Step 2: Convert to fraction form
    6,893.61/10,333.14 = 3,198.33/x
  3. Step 3: Cross multiply
    6,893.61x = 10,333.14 × 3,198.33
  4. Step 4: Simplify right side
    6,893.61x = 33,048,791.66
  5. Step 5: Solve for x
    x = 33,048,791.66/6,893.61
  6. Step 6: Final answer
    x = 4,794.12

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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.