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Finding the Fourth Proportional to 6,493.35, 9,741.74 and 2,333.79

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Solution

The fourth proportional to 6,493.35, 9,741.74 and 2,333.79 is: 3,501.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.35 : 9,741.74 = 2,333.79 : x
  2. Step 2: Convert to fraction form
    6,493.35/9,741.74 = 2,333.79/x
  3. Step 3: Cross multiply
    6,493.35x = 9,741.74 × 2,333.79
  4. Step 4: Simplify right side
    6,493.35x = 22,735,163.73
  5. Step 5: Solve for x
    x = 22,735,163.73/6,493.35
  6. Step 6: Final answer
    x = 3,501.30

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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.