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Finding the Fourth Proportional to 6,238.60, 9,351.90 and 3,603.40

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Solution

The fourth proportional to 6,238.60, 9,351.90 and 3,603.40 is: 5,401.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,238.60 : 9,351.90 = 3,603.40 : x
  2. Step 2: Convert to fraction form
    6,238.60/9,351.90 = 3,603.40/x
  3. Step 3: Cross multiply
    6,238.60x = 9,351.90 × 3,603.40
  4. Step 4: Simplify right side
    6,238.60x = 33,698,636.46
  5. Step 5: Solve for x
    x = 33,698,636.46/6,238.60
  6. Step 6: Final answer
    x = 5,401.63

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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.