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Finding the Fourth Proportional to 6,249.81, 9,371.91 and 2,351.46

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Solution

The fourth proportional to 6,249.81, 9,371.91 and 2,351.46 is: 3,526.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,249.81 : 9,371.91 = 2,351.46 : x
  2. Step 2: Convert to fraction form
    6,249.81/9,371.91 = 2,351.46/x
  3. Step 3: Cross multiply
    6,249.81x = 9,371.91 × 2,351.46
  4. Step 4: Simplify right side
    6,249.81x = 22,037,671.49
  5. Step 5: Solve for x
    x = 22,037,671.49/6,249.81
  6. Step 6: Final answer
    x = 3,526.13

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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.