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Finding the Fourth Proportional to 6,573.57, 9,861 and 3,239.82

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Solution

The fourth proportional to 6,573.57, 9,861 and 3,239.82 is: 4,860.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.57 : 9,861 = 3,239.82 : x
  2. Step 2: Convert to fraction form
    6,573.57/9,861 = 3,239.82/x
  3. Step 3: Cross multiply
    6,573.57x = 9,861 × 3,239.82
  4. Step 4: Simplify right side
    6,573.57x = 31,947,865.02
  5. Step 5: Solve for x
    x = 31,947,865.02/6,573.57
  6. Step 6: Final answer
    x = 4,860.05

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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.