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Finding the Fourth Proportional to 6,147.52, 9,234.06 and 5,983.48

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Solution

The fourth proportional to 6,147.52, 9,234.06 and 5,983.48 is: 8,987.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147.52 : 9,234.06 = 5,983.48 : x
  2. Step 2: Convert to fraction form
    6,147.52/9,234.06 = 5,983.48/x
  3. Step 3: Cross multiply
    6,147.52x = 9,234.06 × 5,983.48
  4. Step 4: Simplify right side
    6,147.52x = 55,251,813.33
  5. Step 5: Solve for x
    x = 55,251,813.33/6,147.52
  6. Step 6: Final answer
    x = 8,987.66

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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.