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Finding the Fourth Proportional to 5,194.97, 7,791.51 and 1,496.29

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Solution

The fourth proportional to 5,194.97, 7,791.51 and 1,496.29 is: 2,244.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.97 : 7,791.51 = 1,496.29 : x
  2. Step 2: Convert to fraction form
    5,194.97/7,791.51 = 1,496.29/x
  3. Step 3: Cross multiply
    5,194.97x = 7,791.51 × 1,496.29
  4. Step 4: Simplify right side
    5,194.97x = 11,658,358.50
  5. Step 5: Solve for x
    x = 11,658,358.50/5,194.97
  6. Step 6: Final answer
    x = 2,244.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.