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Finding the Fourth Proportional to 8,027, 11,077.26 and 4,883.78

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Solution

The fourth proportional to 8,027, 11,077.26 and 4,883.78 is: 6,739.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,027 : 11,077.26 = 4,883.78 : x
  2. Step 2: Convert to fraction form
    8,027/11,077.26 = 4,883.78/x
  3. Step 3: Cross multiply
    8,027x = 11,077.26 × 4,883.78
  4. Step 4: Simplify right side
    8,027x = 54,098,900.84
  5. Step 5: Solve for x
    x = 54,098,900.84/8,027
  6. Step 6: Final answer
    x = 6,739.62

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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.