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Finding the Fourth Proportional to 8,195.06, 11,309.20 and 4,469.06

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Solution

The fourth proportional to 8,195.06, 11,309.20 and 4,469.06 is: 6,167.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.06 : 11,309.20 = 4,469.06 : x
  2. Step 2: Convert to fraction form
    8,195.06/11,309.20 = 4,469.06/x
  3. Step 3: Cross multiply
    8,195.06x = 11,309.20 × 4,469.06
  4. Step 4: Simplify right side
    8,195.06x = 50,541,510.45
  5. Step 5: Solve for x
    x = 50,541,510.45/8,195.06
  6. Step 6: Final answer
    x = 6,167.31

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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.