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Finding the Fourth Proportional to 8,224.67, 11,273.93 and 8,113.92

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Solution

The fourth proportional to 8,224.67, 11,273.93 and 8,113.92 is: 11,122.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,224.67 : 11,273.93 = 8,113.92 : x
  2. Step 2: Convert to fraction form
    8,224.67/11,273.93 = 8,113.92/x
  3. Step 3: Cross multiply
    8,224.67x = 11,273.93 × 8,113.92
  4. Step 4: Simplify right side
    8,224.67x = 91,475,725.54
  5. Step 5: Solve for x
    x = 91,475,725.54/8,224.67
  6. Step 6: Final answer
    x = 11,122.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.