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Finding the Fourth Proportional to 6,493.07, 9,741.87 and 3,208.47

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Solution

The fourth proportional to 6,493.07, 9,741.87 and 3,208.47 is: 4,813.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.07 : 9,741.87 = 3,208.47 : x
  2. Step 2: Convert to fraction form
    6,493.07/9,741.87 = 3,208.47/x
  3. Step 3: Cross multiply
    6,493.07x = 9,741.87 × 3,208.47
  4. Step 4: Simplify right side
    6,493.07x = 31,256,497.64
  5. Step 5: Solve for x
    x = 31,256,497.64/6,493.07
  6. Step 6: Final answer
    x = 4,813.83

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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.