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Finding the Fourth Proportional to 4,132, 6,198 and 1,396

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Solution

The fourth proportional to 4,132, 6,198 and 1,396 is: 2,094

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,132 : 6,198 = 1,396 : x
  2. Step 2: Convert to fraction form
    4,132/6,198 = 1,396/x
  3. Step 3: Cross multiply
    4,132x = 6,198 × 1,396
  4. Step 4: Simplify right side
    4,132x = 8,652,408
  5. Step 5: Solve for x
    x = 8,652,408/4,132
  6. Step 6: Final answer
    x = 2,094

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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.