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Finding the Fourth Proportional to 13,723.67, 20,571.05 and 7,793.12

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Solution

The fourth proportional to 13,723.67, 20,571.05 and 7,793.12 is: 11,681.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,723.67 : 20,571.05 = 7,793.12 : x
  2. Step 2: Convert to fraction form
    13,723.67/20,571.05 = 7,793.12/x
  3. Step 3: Cross multiply
    13,723.67x = 20,571.05 × 7,793.12
  4. Step 4: Simplify right side
    13,723.67x = 160,312,732.09
  5. Step 5: Solve for x
    x = 160,312,732.09/13,723.67
  6. Step 6: Final answer
    x = 11,681.47

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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.