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Finding the Fourth Proportional to 11,899, 16,419.97 and 6,520.44

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Solution

The fourth proportional to 11,899, 16,419.97 and 6,520.44 is: 8,997.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,899 : 16,419.97 = 6,520.44 : x
  2. Step 2: Convert to fraction form
    11,899/16,419.97 = 6,520.44/x
  3. Step 3: Cross multiply
    11,899x = 16,419.97 × 6,520.44
  4. Step 4: Simplify right side
    11,899x = 107,065,429.19
  5. Step 5: Solve for x
    x = 107,065,429.19/11,899
  6. Step 6: Final answer
    x = 8,997.85

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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.