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Finding the Fourth Proportional to 7,540.57, 10,403.88 and 5,942.26

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Solution

The fourth proportional to 7,540.57, 10,403.88 and 5,942.26 is: 8,198.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,540.57 : 10,403.88 = 5,942.26 : x
  2. Step 2: Convert to fraction form
    7,540.57/10,403.88 = 5,942.26/x
  3. Step 3: Cross multiply
    7,540.57x = 10,403.88 × 5,942.26
  4. Step 4: Simplify right side
    7,540.57x = 61,822,559.97
  5. Step 5: Solve for x
    x = 61,822,559.97/7,540.57
  6. Step 6: Final answer
    x = 8,198.66

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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.