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Finding the Fourth Proportional to 8,296.26, 12,471.72 and 7,687.54

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Solution

The fourth proportional to 8,296.26, 12,471.72 and 7,687.54 is: 11,556.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.26 : 12,471.72 = 7,687.54 : x
  2. Step 2: Convert to fraction form
    8,296.26/12,471.72 = 7,687.54/x
  3. Step 3: Cross multiply
    8,296.26x = 12,471.72 × 7,687.54
  4. Step 4: Simplify right side
    8,296.26x = 95,876,846.37
  5. Step 5: Solve for x
    x = 95,876,846.37/8,296.26
  6. Step 6: Final answer
    x = 11,556.63

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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.