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Finding the Fourth Proportional to 13,644.48, 20,462.36 and 5,322.48

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Solution

The fourth proportional to 13,644.48, 20,462.36 and 5,322.48 is: 7,982.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.48 : 20,462.36 = 5,322.48 : x
  2. Step 2: Convert to fraction form
    13,644.48/20,462.36 = 5,322.48/x
  3. Step 3: Cross multiply
    13,644.48x = 20,462.36 × 5,322.48
  4. Step 4: Simplify right side
    13,644.48x = 108,910,501.85
  5. Step 5: Solve for x
    x = 108,910,501.85/13,644.48
  6. Step 6: Final answer
    x = 7,982.02

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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.