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Finding the Fourth Proportional to 7,137.96, 9,850.36 and 3,994.14

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Solution

The fourth proportional to 7,137.96, 9,850.36 and 3,994.14 is: 5,511.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,137.96 : 9,850.36 = 3,994.14 : x
  2. Step 2: Convert to fraction form
    7,137.96/9,850.36 = 3,994.14/x
  3. Step 3: Cross multiply
    7,137.96x = 9,850.36 × 3,994.14
  4. Step 4: Simplify right side
    7,137.96x = 39,343,716.89
  5. Step 5: Solve for x
    x = 39,343,716.89/7,137.96
  6. Step 6: Final answer
    x = 5,511.90

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1.5x scale

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.