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Finding the Fourth Proportional to 6,201.27, 9,301.50 and 4,823.46

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Solution

The fourth proportional to 6,201.27, 9,301.50 and 4,823.46 is: 7,234.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.27 : 9,301.50 = 4,823.46 : x
  2. Step 2: Convert to fraction form
    6,201.27/9,301.50 = 4,823.46/x
  3. Step 3: Cross multiply
    6,201.27x = 9,301.50 × 4,823.46
  4. Step 4: Simplify right side
    6,201.27x = 44,865,413.19
  5. Step 5: Solve for x
    x = 44,865,413.19/6,201.27
  6. Step 6: Final answer
    x = 7,234.87

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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.