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Finding the Fourth Proportional to 7,138, 9,850.44 and 3,994.80

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Solution

The fourth proportional to 7,138, 9,850.44 and 3,994.80 is: 5,512.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,138 : 9,850.44 = 3,994.80 : x
  2. Step 2: Convert to fraction form
    7,138/9,850.44 = 3,994.80/x
  3. Step 3: Cross multiply
    7,138x = 9,850.44 × 3,994.80
  4. Step 4: Simplify right side
    7,138x = 39,350,537.71
  5. Step 5: Solve for x
    x = 39,350,537.71/7,138
  6. Step 6: Final answer
    x = 5,512.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.