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Finding the Fourth Proportional to 6,418, 9,627 and 2,314

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Solution

The fourth proportional to 6,418, 9,627 and 2,314 is: 3,471

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418 : 9,627 = 2,314 : x
  2. Step 2: Convert to fraction form
    6,418/9,627 = 2,314/x
  3. Step 3: Cross multiply
    6,418x = 9,627 × 2,314
  4. Step 4: Simplify right side
    6,418x = 22,276,878
  5. Step 5: Solve for x
    x = 22,276,878/6,418
  6. Step 6: Final answer
    x = 3,471

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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.