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Finding the Fourth Proportional to 10,667.14, 16,000.70 and 5,469.70

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Solution

The fourth proportional to 10,667.14, 16,000.70 and 5,469.70 is: 8,204.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,667.14 : 16,000.70 = 5,469.70 : x
  2. Step 2: Convert to fraction form
    10,667.14/16,000.70 = 5,469.70/x
  3. Step 3: Cross multiply
    10,667.14x = 16,000.70 × 5,469.70
  4. Step 4: Simplify right side
    10,667.14x = 87,519,028.79
  5. Step 5: Solve for x
    x = 87,519,028.79/10,667.14
  6. Step 6: Final answer
    x = 8,204.54

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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.