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Finding the Fourth Proportional to 13,761.66, 18,991.49 and 7,794.26

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Solution

The fourth proportional to 13,761.66, 18,991.49 and 7,794.26 is: 10,756.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.66 : 18,991.49 = 7,794.26 : x
  2. Step 2: Convert to fraction form
    13,761.66/18,991.49 = 7,794.26/x
  3. Step 3: Cross multiply
    13,761.66x = 18,991.49 × 7,794.26
  4. Step 4: Simplify right side
    13,761.66x = 148,024,610.85
  5. Step 5: Solve for x
    x = 148,024,610.85/13,761.66
  6. Step 6: Final answer
    x = 10,756.30

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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.