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Finding the Fourth Proportional to 13,832.88, 20,751.96 and 7,589.54

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Solution

The fourth proportional to 13,832.88, 20,751.96 and 7,589.54 is: 11,385.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,832.88 : 20,751.96 = 7,589.54 : x
  2. Step 2: Convert to fraction form
    13,832.88/20,751.96 = 7,589.54/x
  3. Step 3: Cross multiply
    13,832.88x = 20,751.96 × 7,589.54
  4. Step 4: Simplify right side
    13,832.88x = 157,497,830.50
  5. Step 5: Solve for x
    x = 157,497,830.50/13,832.88
  6. Step 6: Final answer
    x = 11,385.76

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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.