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Finding the Fourth Proportional to 10,797.74, 16,193.58 and 6,843.14

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Solution

The fourth proportional to 10,797.74, 16,193.58 and 6,843.14 is: 10,262.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,797.74 : 16,193.58 = 6,843.14 : x
  2. Step 2: Convert to fraction form
    10,797.74/16,193.58 = 6,843.14/x
  3. Step 3: Cross multiply
    10,797.74x = 16,193.58 × 6,843.14
  4. Step 4: Simplify right side
    10,797.74x = 110,814,935.04
  5. Step 5: Solve for x
    x = 110,814,935.04/10,797.74
  6. Step 6: Final answer
    x = 10,262.79

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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.