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Finding the Fourth Proportional to 11,763.76, 16,234.14 and 6,458.44

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Solution

The fourth proportional to 11,763.76, 16,234.14 and 6,458.44 is: 8,912.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,763.76 : 16,234.14 = 6,458.44 : x
  2. Step 2: Convert to fraction form
    11,763.76/16,234.14 = 6,458.44/x
  3. Step 3: Cross multiply
    11,763.76x = 16,234.14 × 6,458.44
  4. Step 4: Simplify right side
    11,763.76x = 104,847,219.14
  5. Step 5: Solve for x
    x = 104,847,219.14/11,763.76
  6. Step 6: Final answer
    x = 8,912.73

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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.