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Finding the Fourth Proportional to 8,227.34, 11,341.92 and 5,865.38

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Solution

The fourth proportional to 8,227.34, 11,341.92 and 5,865.38 is: 8,085.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,227.34 : 11,341.92 = 5,865.38 : x
  2. Step 2: Convert to fraction form
    8,227.34/11,341.92 = 5,865.38/x
  3. Step 3: Cross multiply
    8,227.34x = 11,341.92 × 5,865.38
  4. Step 4: Simplify right side
    8,227.34x = 66,524,721.08
  5. Step 5: Solve for x
    x = 66,524,721.08/8,227.34
  6. Step 6: Final answer
    x = 8,085.81

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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.