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Finding the Fourth Proportional to 6,453.84, 9,682.80 and 2,556

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Solution

The fourth proportional to 6,453.84, 9,682.80 and 2,556 is: 3,834.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,453.84 : 9,682.80 = 2,556 : x
  2. Step 2: Convert to fraction form
    6,453.84/9,682.80 = 2,556/x
  3. Step 3: Cross multiply
    6,453.84x = 9,682.80 × 2,556
  4. Step 4: Simplify right side
    6,453.84x = 24,749,236.80
  5. Step 5: Solve for x
    x = 24,749,236.80/6,453.84
  6. Step 6: Final answer
    x = 3,834.81

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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.