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Finding the Fourth Proportional to 9,796.13, 14,679.78 and 5,789.39

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Solution

The fourth proportional to 9,796.13, 14,679.78 and 5,789.39 is: 8,675.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,796.13 : 14,679.78 = 5,789.39 : x
  2. Step 2: Convert to fraction form
    9,796.13/14,679.78 = 5,789.39/x
  3. Step 3: Cross multiply
    9,796.13x = 14,679.78 × 5,789.39
  4. Step 4: Simplify right side
    9,796.13x = 84,986,919.85
  5. Step 5: Solve for x
    x = 84,986,919.85/9,796.13
  6. Step 6: Final answer
    x = 8,675.57

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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.