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Finding the Fourth Proportional to 6,843.93, 10,265.89 and 1,649.81

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Solution

The fourth proportional to 6,843.93, 10,265.89 and 1,649.81 is: 2,474.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,843.93 : 10,265.89 = 1,649.81 : x
  2. Step 2: Convert to fraction form
    6,843.93/10,265.89 = 1,649.81/x
  3. Step 3: Cross multiply
    6,843.93x = 10,265.89 × 1,649.81
  4. Step 4: Simplify right side
    6,843.93x = 16,936,712.53
  5. Step 5: Solve for x
    x = 16,936,712.53/6,843.93
  6. Step 6: Final answer
    x = 2,474.71

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Similar ratio
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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.