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Finding the Fourth Proportional to 6,321.32, 9,481.94 and 3,401

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Solution

The fourth proportional to 6,321.32, 9,481.94 and 3,401 is: 5,101.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.32 : 9,481.94 = 3,401 : x
  2. Step 2: Convert to fraction form
    6,321.32/9,481.94 = 3,401/x
  3. Step 3: Cross multiply
    6,321.32x = 9,481.94 × 3,401
  4. Step 4: Simplify right side
    6,321.32x = 32,248,077.94
  5. Step 5: Solve for x
    x = 32,248,077.94/6,321.32
  6. Step 6: Final answer
    x = 5,101.48

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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.