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Finding the Fourth Proportional to 18,096.40, 27,149.40 and 6,408.40

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Solution

The fourth proportional to 18,096.40, 27,149.40 and 6,408.40 is: 9,614.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,096.40 : 27,149.40 = 6,408.40 : x
  2. Step 2: Convert to fraction form
    18,096.40/27,149.40 = 6,408.40/x
  3. Step 3: Cross multiply
    18,096.40x = 27,149.40 × 6,408.40
  4. Step 4: Simplify right side
    18,096.40x = 173,984,214.96
  5. Step 5: Solve for x
    x = 173,984,214.96/18,096.40
  6. Step 6: Final answer
    x = 9,614.30

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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.