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Finding the Fourth Proportional to 11,150.38, 16,703.88 and 6,205

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Solution

The fourth proportional to 11,150.38, 16,703.88 and 6,205 is: 9,295.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,150.38 : 16,703.88 = 6,205 : x
  2. Step 2: Convert to fraction form
    11,150.38/16,703.88 = 6,205/x
  3. Step 3: Cross multiply
    11,150.38x = 16,703.88 × 6,205
  4. Step 4: Simplify right side
    11,150.38x = 103,647,575.40
  5. Step 5: Solve for x
    x = 103,647,575.40/11,150.38
  6. Step 6: Final answer
    x = 9,295.43

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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.