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Finding the Fourth Proportional to 11,850, 17,775 and 3,642

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Solution

The fourth proportional to 11,850, 17,775 and 3,642 is: 5,463

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,850 : 17,775 = 3,642 : x
  2. Step 2: Convert to fraction form
    11,850/17,775 = 3,642/x
  3. Step 3: Cross multiply
    11,850x = 17,775 × 3,642
  4. Step 4: Simplify right side
    11,850x = 64,736,550
  5. Step 5: Solve for x
    x = 64,736,550/11,850
  6. Step 6: Final answer
    x = 5,463

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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.