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Finding the Fourth Proportional to 6,812.14, 9,400.98 and 3,828.56

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Solution

The fourth proportional to 6,812.14, 9,400.98 and 3,828.56 is: 5,283.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,812.14 : 9,400.98 = 3,828.56 : x
  2. Step 2: Convert to fraction form
    6,812.14/9,400.98 = 3,828.56/x
  3. Step 3: Cross multiply
    6,812.14x = 9,400.98 × 3,828.56
  4. Step 4: Simplify right side
    6,812.14x = 35,992,215.99
  5. Step 5: Solve for x
    x = 35,992,215.99/6,812.14
  6. Step 6: Final answer
    x = 5,283.54

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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.