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Finding the Fourth Proportional to 8,238.68, 11,370.68 and 5,414.24

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Solution

The fourth proportional to 8,238.68, 11,370.68 and 5,414.24 is: 7,472.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,238.68 : 11,370.68 = 5,414.24 : x
  2. Step 2: Convert to fraction form
    8,238.68/11,370.68 = 5,414.24/x
  3. Step 3: Cross multiply
    8,238.68x = 11,370.68 × 5,414.24
  4. Step 4: Simplify right side
    8,238.68x = 61,563,590.48
  5. Step 5: Solve for x
    x = 61,563,590.48/8,238.68
  6. Step 6: Final answer
    x = 7,472.51

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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.