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Finding the Fourth Proportional to 19,183.82, 28,757.27 and 9,828.26

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Solution

The fourth proportional to 19,183.82, 28,757.27 and 9,828.26 is: 14,732.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,183.82 : 28,757.27 = 9,828.26 : x
  2. Step 2: Convert to fraction form
    19,183.82/28,757.27 = 9,828.26/x
  3. Step 3: Cross multiply
    19,183.82x = 28,757.27 × 9,828.26
  4. Step 4: Simplify right side
    19,183.82x = 282,633,733.52
  5. Step 5: Solve for x
    x = 282,633,733.52/19,183.82
  6. Step 6: Final answer
    x = 14,732.93

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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.