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Finding the Fourth Proportional to 13,997.56, 20,997.16 and 5,231.74

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Solution

The fourth proportional to 13,997.56, 20,997.16 and 5,231.74 is: 7,847.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,997.56 : 20,997.16 = 5,231.74 : x
  2. Step 2: Convert to fraction form
    13,997.56/20,997.16 = 5,231.74/x
  3. Step 3: Cross multiply
    13,997.56x = 20,997.16 × 5,231.74
  4. Step 4: Simplify right side
    13,997.56x = 109,851,681.86
  5. Step 5: Solve for x
    x = 109,851,681.86/13,997.56
  6. Step 6: Final answer
    x = 7,847.92

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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.