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Finding the Fourth Proportional to 6,142.69, 9,211.15 and 2,244.37

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Solution

The fourth proportional to 6,142.69, 9,211.15 and 2,244.37 is: 3,365.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,142.69 : 9,211.15 = 2,244.37 : x
  2. Step 2: Convert to fraction form
    6,142.69/9,211.15 = 2,244.37/x
  3. Step 3: Cross multiply
    6,142.69x = 9,211.15 × 2,244.37
  4. Step 4: Simplify right side
    6,142.69x = 20,673,228.73
  5. Step 5: Solve for x
    x = 20,673,228.73/6,142.69
  6. Step 6: Final answer
    x = 3,365.50

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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.