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Finding the Fourth Proportional to 6,546, 9,819 and 1,682

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Solution

The fourth proportional to 6,546, 9,819 and 1,682 is: 2,523

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,546 : 9,819 = 1,682 : x
  2. Step 2: Convert to fraction form
    6,546/9,819 = 1,682/x
  3. Step 3: Cross multiply
    6,546x = 9,819 × 1,682
  4. Step 4: Simplify right side
    6,546x = 16,515,558
  5. Step 5: Solve for x
    x = 16,515,558/6,546
  6. Step 6: Final answer
    x = 2,523

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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.