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Finding the Fourth Proportional to 6,349.66, 9,527.37 and 3,273.82

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Solution

The fourth proportional to 6,349.66, 9,527.37 and 3,273.82 is: 4,912.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,349.66 : 9,527.37 = 3,273.82 : x
  2. Step 2: Convert to fraction form
    6,349.66/9,527.37 = 3,273.82/x
  3. Step 3: Cross multiply
    6,349.66x = 9,527.37 × 3,273.82
  4. Step 4: Simplify right side
    6,349.66x = 31,190,894.45
  5. Step 5: Solve for x
    x = 31,190,894.45/6,349.66
  6. Step 6: Final answer
    x = 4,912.21

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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.