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Finding the Fourth Proportional to 18,202.30, 27,304.74 and 7,105.30

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Solution

The fourth proportional to 18,202.30, 27,304.74 and 7,105.30 is: 10,658.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,202.30 : 27,304.74 = 7,105.30 : x
  2. Step 2: Convert to fraction form
    18,202.30/27,304.74 = 7,105.30/x
  3. Step 3: Cross multiply
    18,202.30x = 27,304.74 × 7,105.30
  4. Step 4: Simplify right side
    18,202.30x = 194,008,369.12
  5. Step 5: Solve for x
    x = 194,008,369.12/18,202.30
  6. Step 6: Final answer
    x = 10,658.45

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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.