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Finding the Fourth Proportional to 6,086.42, 9,129.97 and 1,704.22

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Solution

The fourth proportional to 6,086.42, 9,129.97 and 1,704.22 is: 2,556.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,086.42 : 9,129.97 = 1,704.22 : x
  2. Step 2: Convert to fraction form
    6,086.42/9,129.97 = 1,704.22/x
  3. Step 3: Cross multiply
    6,086.42x = 9,129.97 × 1,704.22
  4. Step 4: Simplify right side
    6,086.42x = 15,559,456.78
  5. Step 5: Solve for x
    x = 15,559,456.78/6,086.42
  6. Step 6: Final answer
    x = 2,556.42

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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.