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Finding the Fourth Proportional to 11,863.38, 16,373.09 and 6,827.50

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Solution

The fourth proportional to 11,863.38, 16,373.09 and 6,827.50 is: 9,422.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,863.38 : 16,373.09 = 6,827.50 : x
  2. Step 2: Convert to fraction form
    11,863.38/16,373.09 = 6,827.50/x
  3. Step 3: Cross multiply
    11,863.38x = 16,373.09 × 6,827.50
  4. Step 4: Simplify right side
    11,863.38x = 111,787,190.11
  5. Step 5: Solve for x
    x = 111,787,190.11/11,863.38
  6. Step 6: Final answer
    x = 9,422.88

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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.