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Finding the Fourth Proportional to 19,777.86, 29,669.24 and 7,297.95

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Solution

The fourth proportional to 19,777.86, 29,669.24 and 7,297.95 is: 10,947.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,777.86 : 29,669.24 = 7,297.95 : x
  2. Step 2: Convert to fraction form
    19,777.86/29,669.24 = 7,297.95/x
  3. Step 3: Cross multiply
    19,777.86x = 29,669.24 × 7,297.95
  4. Step 4: Simplify right side
    19,777.86x = 216,524,593.57
  5. Step 5: Solve for x
    x = 216,524,593.57/19,777.86
  6. Step 6: Final answer
    x = 10,947.83

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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.