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Finding the Fourth Proportional to 10,737.69, 16,093.29 and 7,786.27

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Solution

The fourth proportional to 10,737.69, 16,093.29 and 7,786.27 is: 11,669.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,737.69 : 16,093.29 = 7,786.27 : x
  2. Step 2: Convert to fraction form
    10,737.69/16,093.29 = 7,786.27/x
  3. Step 3: Cross multiply
    10,737.69x = 16,093.29 × 7,786.27
  4. Step 4: Simplify right side
    10,737.69x = 125,306,750.44
  5. Step 5: Solve for x
    x = 125,306,750.44/10,737.69
  6. Step 6: Final answer
    x = 11,669.81

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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.