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Finding the Fourth Proportional to 8,354.22, 11,524.73 and 5,697.42

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Solution

The fourth proportional to 8,354.22, 11,524.73 and 5,697.42 is: 7,859.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,354.22 : 11,524.73 = 5,697.42 : x
  2. Step 2: Convert to fraction form
    8,354.22/11,524.73 = 5,697.42/x
  3. Step 3: Cross multiply
    8,354.22x = 11,524.73 × 5,697.42
  4. Step 4: Simplify right side
    8,354.22x = 65,661,198.71
  5. Step 5: Solve for x
    x = 65,661,198.71/8,354.22
  6. Step 6: Final answer
    x = 7,859.64

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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.