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Finding the Fourth Proportional to 6,895.44, 9,516.16 and 3,910.24

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Solution

The fourth proportional to 6,895.44, 9,516.16 and 3,910.24 is: 5,396.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,895.44 : 9,516.16 = 3,910.24 : x
  2. Step 2: Convert to fraction form
    6,895.44/9,516.16 = 3,910.24/x
  3. Step 3: Cross multiply
    6,895.44x = 9,516.16 × 3,910.24
  4. Step 4: Simplify right side
    6,895.44x = 37,210,469.48
  5. Step 5: Solve for x
    x = 37,210,469.48/6,895.44
  6. Step 6: Final answer
    x = 5,396.39

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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.