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Finding the Fourth Proportional to 6,227.04, 9,338.94 and 1,843.32

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Solution

The fourth proportional to 6,227.04, 9,338.94 and 1,843.32 is: 2,764.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,227.04 : 9,338.94 = 1,843.32 : x
  2. Step 2: Convert to fraction form
    6,227.04/9,338.94 = 1,843.32/x
  3. Step 3: Cross multiply
    6,227.04x = 9,338.94 × 1,843.32
  4. Step 4: Simplify right side
    6,227.04x = 17,214,654.88
  5. Step 5: Solve for x
    x = 17,214,654.88/6,227.04
  6. Step 6: Final answer
    x = 2,764.50

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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.