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Finding the Fourth Proportional to 6,914.94, 9,542.24 and 3,930.36

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Solution

The fourth proportional to 6,914.94, 9,542.24 and 3,930.36 is: 5,423.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.94 : 9,542.24 = 3,930.36 : x
  2. Step 2: Convert to fraction form
    6,914.94/9,542.24 = 3,930.36/x
  3. Step 3: Cross multiply
    6,914.94x = 9,542.24 × 3,930.36
  4. Step 4: Simplify right side
    6,914.94x = 37,504,371.04
  5. Step 5: Solve for x
    x = 37,504,371.04/6,914.94
  6. Step 6: Final answer
    x = 5,423.68

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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.