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Finding the Fourth Proportional to 18,644.40, 27,974.70 and 9,410.40

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Solution

The fourth proportional to 18,644.40, 27,974.70 and 9,410.40 is: 14,119.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,644.40 : 27,974.70 = 9,410.40 : x
  2. Step 2: Convert to fraction form
    18,644.40/27,974.70 = 9,410.40/x
  3. Step 3: Cross multiply
    18,644.40x = 27,974.70 × 9,410.40
  4. Step 4: Simplify right side
    18,644.40x = 263,253,116.88
  5. Step 5: Solve for x
    x = 263,253,116.88/18,644.40
  6. Step 6: Final answer
    x = 14,119.69

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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.