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Finding the Fourth Proportional to 13,850.32, 20,755.24 and 6,828.24

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Solution

The fourth proportional to 13,850.32, 20,755.24 and 6,828.24 is: 10,232.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,850.32 : 20,755.24 = 6,828.24 : x
  2. Step 2: Convert to fraction form
    13,850.32/20,755.24 = 6,828.24/x
  3. Step 3: Cross multiply
    13,850.32x = 20,755.24 × 6,828.24
  4. Step 4: Simplify right side
    13,850.32x = 141,721,759.98
  5. Step 5: Solve for x
    x = 141,721,759.98/13,850.32
  6. Step 6: Final answer
    x = 10,232.38

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.