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Finding the Fourth Proportional to 6,257.71, 9,388.49 and 3,333.81

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Solution

The fourth proportional to 6,257.71, 9,388.49 and 3,333.81 is: 5,001.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,257.71 : 9,388.49 = 3,333.81 : x
  2. Step 2: Convert to fraction form
    6,257.71/9,388.49 = 3,333.81/x
  3. Step 3: Cross multiply
    6,257.71x = 9,388.49 × 3,333.81
  4. Step 4: Simplify right side
    6,257.71x = 31,299,441.85
  5. Step 5: Solve for x
    x = 31,299,441.85/6,257.71
  6. Step 6: Final answer
    x = 5,001.74

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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.