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Finding the Fourth Proportional to 6,603.75, 9,902.49 and 3,831.27

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Solution

The fourth proportional to 6,603.75, 9,902.49 and 3,831.27 is: 5,745.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,603.75 : 9,902.49 = 3,831.27 : x
  2. Step 2: Convert to fraction form
    6,603.75/9,902.49 = 3,831.27/x
  3. Step 3: Cross multiply
    6,603.75x = 9,902.49 × 3,831.27
  4. Step 4: Simplify right side
    6,603.75x = 37,939,118.18
  5. Step 5: Solve for x
    x = 37,939,118.18/6,603.75
  6. Step 6: Final answer
    x = 5,745.09

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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.