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Finding the Fourth Proportional to 6,654.41, 9,982.52 and 2,270.69

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Solution

The fourth proportional to 6,654.41, 9,982.52 and 2,270.69 is: 3,406.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,654.41 : 9,982.52 = 2,270.69 : x
  2. Step 2: Convert to fraction form
    6,654.41/9,982.52 = 2,270.69/x
  3. Step 3: Cross multiply
    6,654.41x = 9,982.52 × 2,270.69
  4. Step 4: Simplify right side
    6,654.41x = 22,667,208.34
  5. Step 5: Solve for x
    x = 22,667,208.34/6,654.41
  6. Step 6: Final answer
    x = 3,406.34

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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.