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Finding the Fourth Proportional to 11,650.01, 16,077.02 and 6,344.78

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Solution

The fourth proportional to 11,650.01, 16,077.02 and 6,344.78 is: 8,755.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.01 : 16,077.02 = 6,344.78 : x
  2. Step 2: Convert to fraction form
    11,650.01/16,077.02 = 6,344.78/x
  3. Step 3: Cross multiply
    11,650.01x = 16,077.02 × 6,344.78
  4. Step 4: Simplify right side
    11,650.01x = 102,005,042.85
  5. Step 5: Solve for x
    x = 102,005,042.85/11,650.01
  6. Step 6: Final answer
    x = 8,755.79

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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.