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Finding the Fourth Proportional to 7,794.98, 10,757.06 and 4,258.19

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Solution

The fourth proportional to 7,794.98, 10,757.06 and 4,258.19 is: 5,876.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,794.98 : 10,757.06 = 4,258.19 : x
  2. Step 2: Convert to fraction form
    7,794.98/10,757.06 = 4,258.19/x
  3. Step 3: Cross multiply
    7,794.98x = 10,757.06 × 4,258.19
  4. Step 4: Simplify right side
    7,794.98x = 45,805,530.25
  5. Step 5: Solve for x
    x = 45,805,530.25/7,794.98
  6. Step 6: Final answer
    x = 5,876.29

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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.