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Finding the Fourth Proportional to 13,202.62, 18,219.62 and 7,234.24

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Solution

The fourth proportional to 13,202.62, 18,219.62 and 7,234.24 is: 9,983.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.62 : 18,219.62 = 7,234.24 : x
  2. Step 2: Convert to fraction form
    13,202.62/18,219.62 = 7,234.24/x
  3. Step 3: Cross multiply
    13,202.62x = 18,219.62 × 7,234.24
  4. Step 4: Simplify right side
    13,202.62x = 131,805,103.79
  5. Step 5: Solve for x
    x = 131,805,103.79/13,202.62
  6. Step 6: Final answer
    x = 9,983.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.