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Finding the Fourth Proportional to 6,298, 9,443 and 3,011.92

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Solution

The fourth proportional to 6,298, 9,443 and 3,011.92 is: 4,515.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,298 : 9,443 = 3,011.92 : x
  2. Step 2: Convert to fraction form
    6,298/9,443 = 3,011.92/x
  3. Step 3: Cross multiply
    6,298x = 9,443 × 3,011.92
  4. Step 4: Simplify right side
    6,298x = 28,441,560.56
  5. Step 5: Solve for x
    x = 28,441,560.56/6,298
  6. Step 6: Final answer
    x = 4,515.97

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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.