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Finding the Fourth Proportional to 13,231.71, 19,843.65 and 5,834.25

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Solution

The fourth proportional to 13,231.71, 19,843.65 and 5,834.25 is: 8,749.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,231.71 : 19,843.65 = 5,834.25 : x
  2. Step 2: Convert to fraction form
    13,231.71/19,843.65 = 5,834.25/x
  3. Step 3: Cross multiply
    13,231.71x = 19,843.65 × 5,834.25
  4. Step 4: Simplify right side
    13,231.71x = 115,772,815.01
  5. Step 5: Solve for x
    x = 115,772,815.01/13,231.71
  6. Step 6: Final answer
    x = 8,749.65

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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.