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Finding the Fourth Proportional to 8,161, 11,262.42 and 4,435.24

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Solution

The fourth proportional to 8,161, 11,262.42 and 4,435.24 is: 6,120.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161 : 11,262.42 = 4,435.24 : x
  2. Step 2: Convert to fraction form
    8,161/11,262.42 = 4,435.24/x
  3. Step 3: Cross multiply
    8,161x = 11,262.42 × 4,435.24
  4. Step 4: Simplify right side
    8,161x = 49,951,535.68
  5. Step 5: Solve for x
    x = 49,951,535.68/8,161
  6. Step 6: Final answer
    x = 6,120.76

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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.