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Finding the Fourth Proportional to 27,431.46, 41,147.06 and 9,657.90

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Solution

The fourth proportional to 27,431.46, 41,147.06 and 9,657.90 is: 14,486.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,431.46 : 41,147.06 = 9,657.90 : x
  2. Step 2: Convert to fraction form
    27,431.46/41,147.06 = 9,657.90/x
  3. Step 3: Cross multiply
    27,431.46x = 41,147.06 × 9,657.90
  4. Step 4: Simplify right side
    27,431.46x = 397,394,142.48
  5. Step 5: Solve for x
    x = 397,394,142.48/27,431.46
  6. Step 6: Final answer
    x = 14,486.80

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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.