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Finding the Fourth Proportional to 9,709.22, 13,400.17 and 5,934.60

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Solution

The fourth proportional to 9,709.22, 13,400.17 and 5,934.60 is: 8,190.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,709.22 : 13,400.17 = 5,934.60 : x
  2. Step 2: Convert to fraction form
    9,709.22/13,400.17 = 5,934.60/x
  3. Step 3: Cross multiply
    9,709.22x = 13,400.17 × 5,934.60
  4. Step 4: Simplify right side
    9,709.22x = 79,524,634.05
  5. Step 5: Solve for x
    x = 79,524,634.05/9,709.22
  6. Step 6: Final answer
    x = 8,190.63

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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.