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Finding the Fourth Proportional to 6,313.74, 8,711.75 and 3,794.97

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Solution

The fourth proportional to 6,313.74, 8,711.75 and 3,794.97 is: 5,236.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,313.74 : 8,711.75 = 3,794.97 : x
  2. Step 2: Convert to fraction form
    6,313.74/8,711.75 = 3,794.97/x
  3. Step 3: Cross multiply
    6,313.74x = 8,711.75 × 3,794.97
  4. Step 4: Simplify right side
    6,313.74x = 33,060,839.38
  5. Step 5: Solve for x
    x = 33,060,839.38/6,313.74
  6. Step 6: Final answer
    x = 5,236.33

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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.