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Finding the Fourth Proportional to 8,005.74, 11,047.83 and 4,469.22

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Solution

The fourth proportional to 8,005.74, 11,047.83 and 4,469.22 is: 6,167.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,005.74 : 11,047.83 = 4,469.22 : x
  2. Step 2: Convert to fraction form
    8,005.74/11,047.83 = 4,469.22/x
  3. Step 3: Cross multiply
    8,005.74x = 11,047.83 × 4,469.22
  4. Step 4: Simplify right side
    8,005.74x = 49,375,182.79
  5. Step 5: Solve for x
    x = 49,375,182.79/8,005.74
  6. Step 6: Final answer
    x = 6,167.47

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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.