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Finding the Fourth Proportional to 6,198.69, 9,285.48 and 3,069.27

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Solution

The fourth proportional to 6,198.69, 9,285.48 and 3,069.27 is: 4,597.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.69 : 9,285.48 = 3,069.27 : x
  2. Step 2: Convert to fraction form
    6,198.69/9,285.48 = 3,069.27/x
  3. Step 3: Cross multiply
    6,198.69x = 9,285.48 × 3,069.27
  4. Step 4: Simplify right side
    6,198.69x = 28,499,645.20
  5. Step 5: Solve for x
    x = 28,499,645.20/6,198.69
  6. Step 6: Final answer
    x = 4,597.69

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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.