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Finding the Fourth Proportional to 19,797.77, 29,698.61 and 5,757.92

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Solution

The fourth proportional to 19,797.77, 29,698.61 and 5,757.92 is: 8,637.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,797.77 : 29,698.61 = 5,757.92 : x
  2. Step 2: Convert to fraction form
    19,797.77/29,698.61 = 5,757.92/x
  3. Step 3: Cross multiply
    19,797.77x = 29,698.61 × 5,757.92
  4. Step 4: Simplify right side
    19,797.77x = 171,002,043.21
  5. Step 5: Solve for x
    x = 171,002,043.21/19,797.77
  6. Step 6: Final answer
    x = 8,637.44

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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.