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Finding the Fourth Proportional to 6,655.12, 9,982.86 and 2,272.54

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Solution

The fourth proportional to 6,655.12, 9,982.86 and 2,272.54 is: 3,408.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,655.12 : 9,982.86 = 2,272.54 : x
  2. Step 2: Convert to fraction form
    6,655.12/9,982.86 = 2,272.54/x
  3. Step 3: Cross multiply
    6,655.12x = 9,982.86 × 2,272.54
  4. Step 4: Simplify right side
    6,655.12x = 22,686,448.66
  5. Step 5: Solve for x
    x = 22,686,448.66/6,655.12
  6. Step 6: Final answer
    x = 3,408.87

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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.