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Finding the Fourth Proportional to 13,644.98, 20,463.12 and 5,322.98

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Solution

The fourth proportional to 13,644.98, 20,463.12 and 5,322.98 is: 7,982.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,644.98 : 20,463.12 = 5,322.98 : x
  2. Step 2: Convert to fraction form
    13,644.98/20,463.12 = 5,322.98/x
  3. Step 3: Cross multiply
    13,644.98x = 20,463.12 × 5,322.98
  4. Step 4: Simplify right side
    13,644.98x = 108,924,676.18
  5. Step 5: Solve for x
    x = 108,924,676.18/13,644.98
  6. Step 6: Final answer
    x = 7,982.76

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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.