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Finding the Fourth Proportional to 6,573, 9,863.82 and 3,110.52

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Solution

The fourth proportional to 6,573, 9,863.82 and 3,110.52 is: 4,667.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573 : 9,863.82 = 3,110.52 : x
  2. Step 2: Convert to fraction form
    6,573/9,863.82 = 3,110.52/x
  3. Step 3: Cross multiply
    6,573x = 9,863.82 × 3,110.52
  4. Step 4: Simplify right side
    6,573x = 30,681,609.39
  5. Step 5: Solve for x
    x = 30,681,609.39/6,573
  6. Step 6: Final answer
    x = 4,667.82

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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.