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Finding the Fourth Proportional to 7,794, 10,755.78 and 4,257.21

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Solution

The fourth proportional to 7,794, 10,755.78 and 4,257.21 is: 5,874.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794 : 10,755.78 = 4,257.21 : x
  2. Step 2: Convert to fraction form
    7,794/10,755.78 = 4,257.21/x
  3. Step 3: Cross multiply
    7,794x = 10,755.78 × 4,257.21
  4. Step 4: Simplify right side
    7,794x = 45,789,614.17
  5. Step 5: Solve for x
    x = 45,789,614.17/7,794
  6. Step 6: Final answer
    x = 5,874.98

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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.