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Finding the Fourth Proportional to 8,083.26, 11,151 and 5,434.56

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Solution

The fourth proportional to 8,083.26, 11,151 and 5,434.56 is: 7,497.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.26 : 11,151 = 5,434.56 : x
  2. Step 2: Convert to fraction form
    8,083.26/11,151 = 5,434.56/x
  3. Step 3: Cross multiply
    8,083.26x = 11,151 × 5,434.56
  4. Step 4: Simplify right side
    8,083.26x = 60,600,778.56
  5. Step 5: Solve for x
    x = 60,600,778.56/8,083.26
  6. Step 6: Final answer
    x = 7,497.07

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.