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Finding the Fourth Proportional to 6,634.14, 9,941.91 and 5,241.38

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Solution

The fourth proportional to 6,634.14, 9,941.91 and 5,241.38 is: 7,854.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,634.14 : 9,941.91 = 5,241.38 : x
  2. Step 2: Convert to fraction form
    6,634.14/9,941.91 = 5,241.38/x
  3. Step 3: Cross multiply
    6,634.14x = 9,941.91 × 5,241.38
  4. Step 4: Simplify right side
    6,634.14x = 52,109,328.24
  5. Step 5: Solve for x
    x = 52,109,328.24/6,634.14
  6. Step 6: Final answer
    x = 7,854.72

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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.