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Finding the Fourth Proportional to 6,361.67, 9,530.14 and 3,579.86

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Solution

The fourth proportional to 6,361.67, 9,530.14 and 3,579.86 is: 5,362.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.67 : 9,530.14 = 3,579.86 : x
  2. Step 2: Convert to fraction form
    6,361.67/9,530.14 = 3,579.86/x
  3. Step 3: Cross multiply
    6,361.67x = 9,530.14 × 3,579.86
  4. Step 4: Simplify right side
    6,361.67x = 34,116,566.98
  5. Step 5: Solve for x
    x = 34,116,566.98/6,361.67
  6. Step 6: Final answer
    x = 5,362.83

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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.