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Finding the Fourth Proportional to 7,682.44, 11,520.78 and 6,058.12

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Solution

The fourth proportional to 7,682.44, 11,520.78 and 6,058.12 is: 9,084.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,682.44 : 11,520.78 = 6,058.12 : x
  2. Step 2: Convert to fraction form
    7,682.44/11,520.78 = 6,058.12/x
  3. Step 3: Cross multiply
    7,682.44x = 11,520.78 × 6,058.12
  4. Step 4: Simplify right side
    7,682.44x = 69,794,267.73
  5. Step 5: Solve for x
    x = 69,794,267.73/7,682.44
  6. Step 6: Final answer
    x = 9,084.91

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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.