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Finding the Fourth Proportional to 6,542.12, 9,815.70 and 3,257.66

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Solution

The fourth proportional to 6,542.12, 9,815.70 and 3,257.66 is: 4,887.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.12 : 9,815.70 = 3,257.66 : x
  2. Step 2: Convert to fraction form
    6,542.12/9,815.70 = 3,257.66/x
  3. Step 3: Cross multiply
    6,542.12x = 9,815.70 × 3,257.66
  4. Step 4: Simplify right side
    6,542.12x = 31,976,213.26
  5. Step 5: Solve for x
    x = 31,976,213.26/6,542.12
  6. Step 6: Final answer
    x = 4,887.74

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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.