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Finding the Fourth Proportional to 13,737, 18,949.77 and 8,361.06

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Solution

The fourth proportional to 13,737, 18,949.77 and 8,361.06 is: 11,533.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,737 : 18,949.77 = 8,361.06 : x
  2. Step 2: Convert to fraction form
    13,737/18,949.77 = 8,361.06/x
  3. Step 3: Cross multiply
    13,737x = 18,949.77 × 8,361.06
  4. Step 4: Simplify right side
    13,737x = 158,440,163.96
  5. Step 5: Solve for x
    x = 158,440,163.96/13,737
  6. Step 6: Final answer
    x = 11,533.83

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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.