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Finding the Fourth Proportional to 5,617.48, 7,755.74 and 5,027

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Solution

The fourth proportional to 5,617.48, 7,755.74 and 5,027 is: 6,940.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,617.48 : 7,755.74 = 5,027 : x
  2. Step 2: Convert to fraction form
    5,617.48/7,755.74 = 5,027/x
  3. Step 3: Cross multiply
    5,617.48x = 7,755.74 × 5,027
  4. Step 4: Simplify right side
    5,617.48x = 38,988,104.98
  5. Step 5: Solve for x
    x = 38,988,104.98/5,617.48
  6. Step 6: Final answer
    x = 6,940.50

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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.