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Finding the Fourth Proportional to 7,794.77, 10,757.22 and 4,258.04

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Solution

The fourth proportional to 7,794.77, 10,757.22 and 4,258.04 is: 5,876.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.77 : 10,757.22 = 4,258.04 : x
  2. Step 2: Convert to fraction form
    7,794.77/10,757.22 = 4,258.04/x
  3. Step 3: Cross multiply
    7,794.77x = 10,757.22 × 4,258.04
  4. Step 4: Simplify right side
    7,794.77x = 45,804,673.05
  5. Step 5: Solve for x
    x = 45,804,673.05/7,794.77
  6. Step 6: Final answer
    x = 5,876.33

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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.