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Finding the Fourth Proportional to 6,604.25, 9,903.24 and 3,831.77

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Solution

The fourth proportional to 6,604.25, 9,903.24 and 3,831.77 is: 5,745.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,604.25 : 9,903.24 = 3,831.77 : x
  2. Step 2: Convert to fraction form
    6,604.25/9,903.24 = 3,831.77/x
  3. Step 3: Cross multiply
    6,604.25x = 9,903.24 × 3,831.77
  4. Step 4: Simplify right side
    6,604.25x = 37,946,937.93
  5. Step 5: Solve for x
    x = 37,946,937.93/6,604.25
  6. Step 6: Final answer
    x = 5,745.84

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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.