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Finding the Fourth Proportional to 7,782.78, 11,672.46 and 2,234.90

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Solution

The fourth proportional to 7,782.78, 11,672.46 and 2,234.90 is: 3,351.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,782.78 : 11,672.46 = 2,234.90 : x
  2. Step 2: Convert to fraction form
    7,782.78/11,672.46 = 2,234.90/x
  3. Step 3: Cross multiply
    7,782.78x = 11,672.46 × 2,234.90
  4. Step 4: Simplify right side
    7,782.78x = 26,086,722.49
  5. Step 5: Solve for x
    x = 26,086,722.49/7,782.78
  6. Step 6: Final answer
    x = 3,351.85

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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.