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Finding the Fourth Proportional to 8,227.74, 12,342.87 and 3,033.24

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Solution

The fourth proportional to 8,227.74, 12,342.87 and 3,033.24 is: 4,550.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.74 : 12,342.87 = 3,033.24 : x
  2. Step 2: Convert to fraction form
    8,227.74/12,342.87 = 3,033.24/x
  3. Step 3: Cross multiply
    8,227.74x = 12,342.87 × 3,033.24
  4. Step 4: Simplify right side
    8,227.74x = 37,438,887.00
  5. Step 5: Solve for x
    x = 37,438,887.00/8,227.74
  6. Step 6: Final answer
    x = 4,550.32

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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.