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Finding the Fourth Proportional to 7,331.40, 10,997.10 and 3,443.40

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Solution

The fourth proportional to 7,331.40, 10,997.10 and 3,443.40 is: 5,165.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,331.40 : 10,997.10 = 3,443.40 : x
  2. Step 2: Convert to fraction form
    7,331.40/10,997.10 = 3,443.40/x
  3. Step 3: Cross multiply
    7,331.40x = 10,997.10 × 3,443.40
  4. Step 4: Simplify right side
    7,331.40x = 37,867,414.14
  5. Step 5: Solve for x
    x = 37,867,414.14/7,331.40
  6. Step 6: Final answer
    x = 5,165.10

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1.5x scale

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.