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Finding the Fourth Proportional to 13,793.63, 20,674.25 and 6,382.44

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Solution

The fourth proportional to 13,793.63, 20,674.25 and 6,382.44 is: 9,566.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,793.63 : 20,674.25 = 6,382.44 : x
  2. Step 2: Convert to fraction form
    13,793.63/20,674.25 = 6,382.44/x
  3. Step 3: Cross multiply
    13,793.63x = 20,674.25 × 6,382.44
  4. Step 4: Simplify right side
    13,793.63x = 131,952,160.17
  5. Step 5: Solve for x
    x = 131,952,160.17/13,793.63
  6. Step 6: Final answer
    x = 9,566.17

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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.