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Finding the Fourth Proportional to 6,861.75, 9,469.22 and 3,717.94

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Solution

The fourth proportional to 6,861.75, 9,469.22 and 3,717.94 is: 5,130.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.75 : 9,469.22 = 3,717.94 : x
  2. Step 2: Convert to fraction form
    6,861.75/9,469.22 = 3,717.94/x
  3. Step 3: Cross multiply
    6,861.75x = 9,469.22 × 3,717.94
  4. Step 4: Simplify right side
    6,861.75x = 35,205,959.21
  5. Step 5: Solve for x
    x = 35,205,959.21/6,861.75
  6. Step 6: Final answer
    x = 5,130.75

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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.