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Finding the Fourth Proportional to 6,484.54, 9,727.32 and 3,195.84

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Solution

The fourth proportional to 6,484.54, 9,727.32 and 3,195.84 is: 4,794.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,484.54 : 9,727.32 = 3,195.84 : x
  2. Step 2: Convert to fraction form
    6,484.54/9,727.32 = 3,195.84/x
  3. Step 3: Cross multiply
    6,484.54x = 9,727.32 × 3,195.84
  4. Step 4: Simplify right side
    6,484.54x = 31,086,958.35
  5. Step 5: Solve for x
    x = 31,086,958.35/6,484.54
  6. Step 6: Final answer
    x = 4,794.01

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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.