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Finding the Fourth Proportional to 13,753.43, 20,615.24 and 6,738.19

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Solution

The fourth proportional to 13,753.43, 20,615.24 and 6,738.19 is: 10,099.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,753.43 : 20,615.24 = 6,738.19 : x
  2. Step 2: Convert to fraction form
    13,753.43/20,615.24 = 6,738.19/x
  3. Step 3: Cross multiply
    13,753.43x = 20,615.24 × 6,738.19
  4. Step 4: Simplify right side
    13,753.43x = 138,909,369.32
  5. Step 5: Solve for x
    x = 138,909,369.32/13,753.43
  6. Step 6: Final answer
    x = 10,099.98

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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.