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Finding the Fourth Proportional to 11,873.78, 16,385.73 and 6,568.47

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Solution

The fourth proportional to 11,873.78, 16,385.73 and 6,568.47 is: 9,064.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,873.78 : 16,385.73 = 6,568.47 : x
  2. Step 2: Convert to fraction form
    11,873.78/16,385.73 = 6,568.47/x
  3. Step 3: Cross multiply
    11,873.78x = 16,385.73 × 6,568.47
  4. Step 4: Simplify right side
    11,873.78x = 107,629,175.93
  5. Step 5: Solve for x
    x = 107,629,175.93/11,873.78
  6. Step 6: Final answer
    x = 9,064.44

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.