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Finding the Fourth Proportional to 6,885.11, 9,496.17 and 4,643.44

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Solution

The fourth proportional to 6,885.11, 9,496.17 and 4,643.44 is: 6,404.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,885.11 : 9,496.17 = 4,643.44 : x
  2. Step 2: Convert to fraction form
    6,885.11/9,496.17 = 4,643.44/x
  3. Step 3: Cross multiply
    6,885.11x = 9,496.17 × 4,643.44
  4. Step 4: Simplify right side
    6,885.11x = 44,094,871.88
  5. Step 5: Solve for x
    x = 44,094,871.88/6,885.11
  6. Step 6: Final answer
    x = 6,404.38

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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.