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Finding the Fourth Proportional to 6,213.75, 9,313.88 and 3,096.08

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Solution

The fourth proportional to 6,213.75, 9,313.88 and 3,096.08 is: 4,640.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,213.75 : 9,313.88 = 3,096.08 : x
  2. Step 2: Convert to fraction form
    6,213.75/9,313.88 = 3,096.08/x
  3. Step 3: Cross multiply
    6,213.75x = 9,313.88 × 3,096.08
  4. Step 4: Simplify right side
    6,213.75x = 28,836,517.59
  5. Step 5: Solve for x
    x = 28,836,517.59/6,213.75
  6. Step 6: Final answer
    x = 4,640.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.