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Finding the Fourth Proportional to 6,914.38, 10,365.09 and 3,447.82

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Solution

The fourth proportional to 6,914.38, 10,365.09 and 3,447.82 is: 5,168.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.38 : 10,365.09 = 3,447.82 : x
  2. Step 2: Convert to fraction form
    6,914.38/10,365.09 = 3,447.82/x
  3. Step 3: Cross multiply
    6,914.38x = 10,365.09 × 3,447.82
  4. Step 4: Simplify right side
    6,914.38x = 35,736,964.60
  5. Step 5: Solve for x
    x = 35,736,964.60/6,914.38
  6. Step 6: Final answer
    x = 5,168.50

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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.