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Finding the Fourth Proportional to 6,137.82, 9,207 and 1,755.90

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Solution

The fourth proportional to 6,137.82, 9,207 and 1,755.90 is: 2,633.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.82 : 9,207 = 1,755.90 : x
  2. Step 2: Convert to fraction form
    6,137.82/9,207 = 1,755.90/x
  3. Step 3: Cross multiply
    6,137.82x = 9,207 × 1,755.90
  4. Step 4: Simplify right side
    6,137.82x = 16,166,571.30
  5. Step 5: Solve for x
    x = 16,166,571.30/6,137.82
  6. Step 6: Final answer
    x = 2,633.93

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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.