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Finding the Fourth Proportional to 6,493.89, 9,741.20 and 2,797.77

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Solution

The fourth proportional to 6,493.89, 9,741.20 and 2,797.77 is: 4,196.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,493.89 : 9,741.20 = 2,797.77 : x
  2. Step 2: Convert to fraction form
    6,493.89/9,741.20 = 2,797.77/x
  3. Step 3: Cross multiply
    6,493.89x = 9,741.20 × 2,797.77
  4. Step 4: Simplify right side
    6,493.89x = 27,253,623.14
  5. Step 5: Solve for x
    x = 27,253,623.14/6,493.89
  6. Step 6: Final answer
    x = 4,196.81

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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.