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Finding the Fourth Proportional to 10,642.86, 15,962.22 and 4,067.49

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Solution

The fourth proportional to 10,642.86, 15,962.22 and 4,067.49 is: 6,100.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,642.86 : 15,962.22 = 4,067.49 : x
  2. Step 2: Convert to fraction form
    10,642.86/15,962.22 = 4,067.49/x
  3. Step 3: Cross multiply
    10,642.86x = 15,962.22 × 4,067.49
  4. Step 4: Simplify right side
    10,642.86x = 64,926,170.23
  5. Step 5: Solve for x
    x = 64,926,170.23/10,642.86
  6. Step 6: Final answer
    x = 6,100.44

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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.