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Finding the Fourth Proportional to 13,793.76, 20,674.43 and 6,382.56

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Solution

The fourth proportional to 13,793.76, 20,674.43 and 6,382.56 is: 9,566.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.76 : 20,674.43 = 6,382.56 : x
  2. Step 2: Convert to fraction form
    13,793.76/20,674.43 = 6,382.56/x
  3. Step 3: Cross multiply
    13,793.76x = 20,674.43 × 6,382.56
  4. Step 4: Simplify right side
    13,793.76x = 131,955,758.03
  5. Step 5: Solve for x
    x = 131,955,758.03/13,793.76
  6. Step 6: Final answer
    x = 9,566.34

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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.