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Finding the Fourth Proportional to 27,458.98, 41,188.48 and 6,682.48

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Solution

The fourth proportional to 27,458.98, 41,188.48 and 6,682.48 is: 10,023.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,458.98 : 41,188.48 = 6,682.48 : x
  2. Step 2: Convert to fraction form
    27,458.98/41,188.48 = 6,682.48/x
  3. Step 3: Cross multiply
    27,458.98x = 41,188.48 × 6,682.48
  4. Step 4: Simplify right side
    27,458.98x = 275,241,280.10
  5. Step 5: Solve for x
    x = 275,241,280.10/27,458.98
  6. Step 6: Final answer
    x = 10,023.72

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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.