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Finding the Fourth Proportional to 13,846.94, 20,753.12 and 6,923.42

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Solution

The fourth proportional to 13,846.94, 20,753.12 and 6,923.42 is: 10,376.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,846.94 : 20,753.12 = 6,923.42 : x
  2. Step 2: Convert to fraction form
    13,846.94/20,753.12 = 6,923.42/x
  3. Step 3: Cross multiply
    13,846.94x = 20,753.12 × 6,923.42
  4. Step 4: Simplify right side
    13,846.94x = 143,682,479.61
  5. Step 5: Solve for x
    x = 143,682,479.61/13,846.94
  6. Step 6: Final answer
    x = 10,376.48

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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.