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Finding the Fourth Proportional to 13,761.81, 18,991.52 and 7,793.32

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Solution

The fourth proportional to 13,761.81, 18,991.52 and 7,793.32 is: 10,754.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.81 : 18,991.52 = 7,793.32 : x
  2. Step 2: Convert to fraction form
    13,761.81/18,991.52 = 7,793.32/x
  3. Step 3: Cross multiply
    13,761.81x = 18,991.52 × 7,793.32
  4. Step 4: Simplify right side
    13,761.81x = 148,006,992.65
  5. Step 5: Solve for x
    x = 148,006,992.65/13,761.81
  6. Step 6: Final answer
    x = 10,754.91

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.