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Finding the Fourth Proportional to 6,562.75, 9,849.81 and 3,444.96

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Solution

The fourth proportional to 6,562.75, 9,849.81 and 3,444.96 is: 5,170.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.75 : 9,849.81 = 3,444.96 : x
  2. Step 2: Convert to fraction form
    6,562.75/9,849.81 = 3,444.96/x
  3. Step 3: Cross multiply
    6,562.75x = 9,849.81 × 3,444.96
  4. Step 4: Simplify right side
    6,562.75x = 33,932,134.98
  5. Step 5: Solve for x
    x = 33,932,134.98/6,562.75
  6. Step 6: Final answer
    x = 5,170.42

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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.