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Finding the Fourth Proportional to 11,827.93, 17,745.14 and 6,205.97

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Solution

The fourth proportional to 11,827.93, 17,745.14 and 6,205.97 is: 9,310.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,827.93 : 17,745.14 = 6,205.97 : x
  2. Step 2: Convert to fraction form
    11,827.93/17,745.14 = 6,205.97/x
  3. Step 3: Cross multiply
    11,827.93x = 17,745.14 × 6,205.97
  4. Step 4: Simplify right side
    11,827.93x = 110,125,733.28
  5. Step 5: Solve for x
    x = 110,125,733.28/11,827.93
  6. Step 6: Final answer
    x = 9,310.65

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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.