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Finding the Fourth Proportional to 7,093.48, 9,791.22 and 4,262.92

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Solution

The fourth proportional to 7,093.48, 9,791.22 and 4,262.92 is: 5,884.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,093.48 : 9,791.22 = 4,262.92 : x
  2. Step 2: Convert to fraction form
    7,093.48/9,791.22 = 4,262.92/x
  3. Step 3: Cross multiply
    7,093.48x = 9,791.22 × 4,262.92
  4. Step 4: Simplify right side
    7,093.48x = 41,739,187.56
  5. Step 5: Solve for x
    x = 41,739,187.56/7,093.48
  6. Step 6: Final answer
    x = 5,884.16

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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.