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Finding the Fourth Proportional to 11,914.71, 16,443.05 and 6,879.86

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Solution

The fourth proportional to 11,914.71, 16,443.05 and 6,879.86 is: 9,494.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.71 : 16,443.05 = 6,879.86 : x
  2. Step 2: Convert to fraction form
    11,914.71/16,443.05 = 6,879.86/x
  3. Step 3: Cross multiply
    11,914.71x = 16,443.05 × 6,879.86
  4. Step 4: Simplify right side
    11,914.71x = 113,125,765.36
  5. Step 5: Solve for x
    x = 113,125,765.36/11,914.71
  6. Step 6: Final answer
    x = 9,494.63

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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.