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Finding the Fourth Proportional to 15,843, 23,764.84 and 5,986.92

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Solution

The fourth proportional to 15,843, 23,764.84 and 5,986.92 is: 8,980.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,843 : 23,764.84 = 5,986.92 : x
  2. Step 2: Convert to fraction form
    15,843/23,764.84 = 5,986.92/x
  3. Step 3: Cross multiply
    15,843x = 23,764.84 × 5,986.92
  4. Step 4: Simplify right side
    15,843x = 142,278,180.93
  5. Step 5: Solve for x
    x = 142,278,180.93/15,843
  6. Step 6: Final answer
    x = 8,980.51

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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.