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Finding the Fourth Proportional to 6,914.49, 10,375.07 and 3,402.60

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Solution

The fourth proportional to 6,914.49, 10,375.07 and 3,402.60 is: 5,105.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.49 : 10,375.07 = 3,402.60 : x
  2. Step 2: Convert to fraction form
    6,914.49/10,375.07 = 3,402.60/x
  3. Step 3: Cross multiply
    6,914.49x = 10,375.07 × 3,402.60
  4. Step 4: Simplify right side
    6,914.49x = 35,302,213.18
  5. Step 5: Solve for x
    x = 35,302,213.18/6,914.49
  6. Step 6: Final answer
    x = 5,105.54

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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.