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Finding the Fourth Proportional to 13,843.81, 20,769.71 and 6,825.93

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Solution

The fourth proportional to 13,843.81, 20,769.71 and 6,825.93 is: 10,240.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,843.81 : 20,769.71 = 6,825.93 : x
  2. Step 2: Convert to fraction form
    13,843.81/20,769.71 = 6,825.93/x
  3. Step 3: Cross multiply
    13,843.81x = 20,769.71 × 6,825.93
  4. Step 4: Simplify right side
    13,843.81x = 141,772,586.58
  5. Step 5: Solve for x
    x = 141,772,586.58/13,843.81
  6. Step 6: Final answer
    x = 10,240.86

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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.