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Finding the Fourth Proportional to 8,234.76, 12,353.82 and 2,391.24

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Solution

The fourth proportional to 8,234.76, 12,353.82 and 2,391.24 is: 3,587.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.76 : 12,353.82 = 2,391.24 : x
  2. Step 2: Convert to fraction form
    8,234.76/12,353.82 = 2,391.24/x
  3. Step 3: Cross multiply
    8,234.76x = 12,353.82 × 2,391.24
  4. Step 4: Simplify right side
    8,234.76x = 29,540,948.54
  5. Step 5: Solve for x
    x = 29,540,948.54/8,234.76
  6. Step 6: Final answer
    x = 3,587.35

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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.