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Finding the Fourth Proportional to 6,498, 9,747 and 1,881

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Solution

The fourth proportional to 6,498, 9,747 and 1,881 is: 2,821.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,498 : 9,747 = 1,881 : x
  2. Step 2: Convert to fraction form
    6,498/9,747 = 1,881/x
  3. Step 3: Cross multiply
    6,498x = 9,747 × 1,881
  4. Step 4: Simplify right side
    6,498x = 18,334,107
  5. Step 5: Solve for x
    x = 18,334,107/6,498
  6. Step 6: Final answer
    x = 2,821.50

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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.