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Finding the Fourth Proportional to 6,644.96, 9,966.84 and 2,027.96

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Solution

The fourth proportional to 6,644.96, 9,966.84 and 2,027.96 is: 3,041.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.96 : 9,966.84 = 2,027.96 : x
  2. Step 2: Convert to fraction form
    6,644.96/9,966.84 = 2,027.96/x
  3. Step 3: Cross multiply
    6,644.96x = 9,966.84 × 2,027.96
  4. Step 4: Simplify right side
    6,644.96x = 20,212,352.85
  5. Step 5: Solve for x
    x = 20,212,352.85/6,644.96
  6. Step 6: Final answer
    x = 3,041.76

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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.