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Finding the Fourth Proportional to 13,760.94, 18,991.28 and 7,793.67

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Solution

The fourth proportional to 13,760.94, 18,991.28 and 7,793.67 is: 10,755.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,760.94 : 18,991.28 = 7,793.67 : x
  2. Step 2: Convert to fraction form
    13,760.94/18,991.28 = 7,793.67/x
  3. Step 3: Cross multiply
    13,760.94x = 18,991.28 × 7,793.67
  4. Step 4: Simplify right side
    13,760.94x = 148,011,816.06
  5. Step 5: Solve for x
    x = 148,011,816.06/13,760.94
  6. Step 6: Final answer
    x = 10,755.93

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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.