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Finding the Fourth Proportional to 10,914, 16,371 and 4,758

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Solution

The fourth proportional to 10,914, 16,371 and 4,758 is: 7,137

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,914 : 16,371 = 4,758 : x
  2. Step 2: Convert to fraction form
    10,914/16,371 = 4,758/x
  3. Step 3: Cross multiply
    10,914x = 16,371 × 4,758
  4. Step 4: Simplify right side
    10,914x = 77,893,218
  5. Step 5: Solve for x
    x = 77,893,218/10,914
  6. Step 6: Final answer
    x = 7,137

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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.