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Finding the Fourth Proportional to 6,914.60, 10,375 and 3,626.92

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Solution

The fourth proportional to 6,914.60, 10,375 and 3,626.92 is: 5,442.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.60 : 10,375 = 3,626.92 : x
  2. Step 2: Convert to fraction form
    6,914.60/10,375 = 3,626.92/x
  3. Step 3: Cross multiply
    6,914.60x = 10,375 × 3,626.92
  4. Step 4: Simplify right side
    6,914.60x = 37,629,295
  5. Step 5: Solve for x
    x = 37,629,295/6,914.60
  6. Step 6: Final answer
    x = 5,442.01

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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.