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Finding the Fourth Proportional to 8,247, 11,380.92 and 5,105.04

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Solution

The fourth proportional to 8,247, 11,380.92 and 5,105.04 is: 7,044.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,247 : 11,380.92 = 5,105.04 : x
  2. Step 2: Convert to fraction form
    8,247/11,380.92 = 5,105.04/x
  3. Step 3: Cross multiply
    8,247x = 11,380.92 × 5,105.04
  4. Step 4: Simplify right side
    8,247x = 58,100,051.84
  5. Step 5: Solve for x
    x = 58,100,051.84/8,247
  6. Step 6: Final answer
    x = 7,044.99

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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.