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Finding the Fourth Proportional to 7,469.08, 10,289.62 and 5,227

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Solution

The fourth proportional to 7,469.08, 10,289.62 and 5,227 is: 7,200.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469.08 : 10,289.62 = 5,227 : x
  2. Step 2: Convert to fraction form
    7,469.08/10,289.62 = 5,227/x
  3. Step 3: Cross multiply
    7,469.08x = 10,289.62 × 5,227
  4. Step 4: Simplify right side
    7,469.08x = 53,783,843.74
  5. Step 5: Solve for x
    x = 53,783,843.74/7,469.08
  6. Step 6: Final answer
    x = 7,200.87

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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.