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Finding the Fourth Proportional to 11,754, 17,631 and 3,546

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Solution

The fourth proportional to 11,754, 17,631 and 3,546 is: 5,319

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754 : 17,631 = 3,546 : x
  2. Step 2: Convert to fraction form
    11,754/17,631 = 3,546/x
  3. Step 3: Cross multiply
    11,754x = 17,631 × 3,546
  4. Step 4: Simplify right side
    11,754x = 62,519,526
  5. Step 5: Solve for x
    x = 62,519,526/11,754
  6. Step 6: Final answer
    x = 5,319

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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.