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Finding the Fourth Proportional to 6,843.63, 10,266.99 and 2,163.92

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Solution

The fourth proportional to 6,843.63, 10,266.99 and 2,163.92 is: 3,246.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.63 : 10,266.99 = 2,163.92 : x
  2. Step 2: Convert to fraction form
    6,843.63/10,266.99 = 2,163.92/x
  3. Step 3: Cross multiply
    6,843.63x = 10,266.99 × 2,163.92
  4. Step 4: Simplify right side
    6,843.63x = 22,216,943.30
  5. Step 5: Solve for x
    x = 22,216,943.30/6,843.63
  6. Step 6: Final answer
    x = 3,246.37

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1.5x scale

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.