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Finding the Fourth Proportional to 8,223.56, 12,342.78 and 3,843.56

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Solution

The fourth proportional to 8,223.56, 12,342.78 and 3,843.56 is: 5,768.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,223.56 : 12,342.78 = 3,843.56 : x
  2. Step 2: Convert to fraction form
    8,223.56/12,342.78 = 3,843.56/x
  3. Step 3: Cross multiply
    8,223.56x = 12,342.78 × 3,843.56
  4. Step 4: Simplify right side
    8,223.56x = 47,440,215.50
  5. Step 5: Solve for x
    x = 47,440,215.50/8,223.56
  6. Step 6: Final answer
    x = 5,768.82

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.