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Finding the Fourth Proportional to 5,062, 7,593 and 1,414

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Solution

The fourth proportional to 5,062, 7,593 and 1,414 is: 2,121

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062 : 7,593 = 1,414 : x
  2. Step 2: Convert to fraction form
    5,062/7,593 = 1,414/x
  3. Step 3: Cross multiply
    5,062x = 7,593 × 1,414
  4. Step 4: Simplify right side
    5,062x = 10,736,502
  5. Step 5: Solve for x
    x = 10,736,502/5,062
  6. Step 6: Final answer
    x = 2,121

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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.