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Finding the Fourth Proportional to 7,174.86, 10,763.37 and 2,557.50

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Solution

The fourth proportional to 7,174.86, 10,763.37 and 2,557.50 is: 3,836.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.86 : 10,763.37 = 2,557.50 : x
  2. Step 2: Convert to fraction form
    7,174.86/10,763.37 = 2,557.50/x
  3. Step 3: Cross multiply
    7,174.86x = 10,763.37 × 2,557.50
  4. Step 4: Simplify right side
    7,174.86x = 27,527,318.78
  5. Step 5: Solve for x
    x = 27,527,318.78/7,174.86
  6. Step 6: Final answer
    x = 3,836.63

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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.