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Finding the Fourth Proportional to 6,662.38, 9,197.60 and 4,305.86

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Solution

The fourth proportional to 6,662.38, 9,197.60 and 4,305.86 is: 5,944.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,662.38 : 9,197.60 = 4,305.86 : x
  2. Step 2: Convert to fraction form
    6,662.38/9,197.60 = 4,305.86/x
  3. Step 3: Cross multiply
    6,662.38x = 9,197.60 × 4,305.86
  4. Step 4: Simplify right side
    6,662.38x = 39,603,577.94
  5. Step 5: Solve for x
    x = 39,603,577.94/6,662.38
  6. Step 6: Final answer
    x = 5,944.36

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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.