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Finding the Fourth Proportional to 5,997, 8,275.86 and 3,514.44

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Solution

The fourth proportional to 5,997, 8,275.86 and 3,514.44 is: 4,849.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,997 : 8,275.86 = 3,514.44 : x
  2. Step 2: Convert to fraction form
    5,997/8,275.86 = 3,514.44/x
  3. Step 3: Cross multiply
    5,997x = 8,275.86 × 3,514.44
  4. Step 4: Simplify right side
    5,997x = 29,085,013.42
  5. Step 5: Solve for x
    x = 29,085,013.42/5,997
  6. Step 6: Final answer
    x = 4,849.93

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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.