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Finding the Fourth Proportional to 6,233.68, 9,350.25 and 1,553.71

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Solution

The fourth proportional to 6,233.68, 9,350.25 and 1,553.71 is: 2,330.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,233.68 : 9,350.25 = 1,553.71 : x
  2. Step 2: Convert to fraction form
    6,233.68/9,350.25 = 1,553.71/x
  3. Step 3: Cross multiply
    6,233.68x = 9,350.25 × 1,553.71
  4. Step 4: Simplify right side
    6,233.68x = 14,527,576.93
  5. Step 5: Solve for x
    x = 14,527,576.93/6,233.68
  6. Step 6: Final answer
    x = 2,330.50

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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.