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Finding the Fourth Proportional to 7,794.29, 10,755.64 and 4,257.29

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Solution

The fourth proportional to 7,794.29, 10,755.64 and 4,257.29 is: 5,874.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.29 : 10,755.64 = 4,257.29 : x
  2. Step 2: Convert to fraction form
    7,794.29/10,755.64 = 4,257.29/x
  3. Step 3: Cross multiply
    7,794.29x = 10,755.64 × 4,257.29
  4. Step 4: Simplify right side
    7,794.29x = 45,789,878.62
  5. Step 5: Solve for x
    x = 45,789,878.62/7,794.29
  6. Step 6: Final answer
    x = 5,874.80

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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.