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Finding the Fourth Proportional to 10,850, 16,275 and 2,642

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Solution

The fourth proportional to 10,850, 16,275 and 2,642 is: 3,963

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,850 : 16,275 = 2,642 : x
  2. Step 2: Convert to fraction form
    10,850/16,275 = 2,642/x
  3. Step 3: Cross multiply
    10,850x = 16,275 × 2,642
  4. Step 4: Simplify right side
    10,850x = 42,998,550
  5. Step 5: Solve for x
    x = 42,998,550/10,850
  6. Step 6: Final answer
    x = 3,963

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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.