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Finding the Fourth Proportional to 11,842, 17,763 and 3,634

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Solution

The fourth proportional to 11,842, 17,763 and 3,634 is: 5,451

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,842 : 17,763 = 3,634 : x
  2. Step 2: Convert to fraction form
    11,842/17,763 = 3,634/x
  3. Step 3: Cross multiply
    11,842x = 17,763 × 3,634
  4. Step 4: Simplify right side
    11,842x = 64,550,742
  5. Step 5: Solve for x
    x = 64,550,742/11,842
  6. Step 6: Final answer
    x = 5,451

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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.