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Finding the Fourth Proportional to 8,265.92, 11,406.97 and 4,489.09

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Solution

The fourth proportional to 8,265.92, 11,406.97 and 4,489.09 is: 6,194.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265.92 : 11,406.97 = 4,489.09 : x
  2. Step 2: Convert to fraction form
    8,265.92/11,406.97 = 4,489.09/x
  3. Step 3: Cross multiply
    8,265.92x = 11,406.97 × 4,489.09
  4. Step 4: Simplify right side
    8,265.92x = 51,206,914.96
  5. Step 5: Solve for x
    x = 51,206,914.96/8,265.92
  6. Step 6: Final answer
    x = 6,194.94

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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.