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Finding the Fourth Proportional to 14,314.76, 19,754.34 and 8,027

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Solution

The fourth proportional to 14,314.76, 19,754.34 and 8,027 is: 11,077.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,314.76 : 19,754.34 = 8,027 : x
  2. Step 2: Convert to fraction form
    14,314.76/19,754.34 = 8,027/x
  3. Step 3: Cross multiply
    14,314.76x = 19,754.34 × 8,027
  4. Step 4: Simplify right side
    14,314.76x = 158,568,087.18
  5. Step 5: Solve for x
    x = 158,568,087.18/14,314.76
  6. Step 6: Final answer
    x = 11,077.24

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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.