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Finding the Fourth Proportional to 6,333, 9,496.02 and 2,170.68

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Solution

The fourth proportional to 6,333, 9,496.02 and 2,170.68 is: 3,254.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,333 : 9,496.02 = 2,170.68 : x
  2. Step 2: Convert to fraction form
    6,333/9,496.02 = 2,170.68/x
  3. Step 3: Cross multiply
    6,333x = 9,496.02 × 2,170.68
  4. Step 4: Simplify right side
    6,333x = 20,612,820.69
  5. Step 5: Solve for x
    x = 20,612,820.69/6,333
  6. Step 6: Final answer
    x = 3,254.83

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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.