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Finding the Fourth Proportional to 7,794.92, 10,757.04 and 4,258.22

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Solution

The fourth proportional to 7,794.92, 10,757.04 and 4,258.22 is: 5,876.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.92 : 10,757.04 = 4,258.22 : x
  2. Step 2: Convert to fraction form
    7,794.92/10,757.04 = 4,258.22/x
  3. Step 3: Cross multiply
    7,794.92x = 10,757.04 × 4,258.22
  4. Step 4: Simplify right side
    7,794.92x = 45,805,789.08
  5. Step 5: Solve for x
    x = 45,805,789.08/7,794.92
  6. Step 6: Final answer
    x = 5,876.37

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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.