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Finding the Fourth Proportional to 27,846.88, 41,778.98 and 9,127.08

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Solution

The fourth proportional to 27,846.88, 41,778.98 and 9,127.08 is: 13,693.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,846.88 : 41,778.98 = 9,127.08 : x
  2. Step 2: Convert to fraction form
    27,846.88/41,778.98 = 9,127.08/x
  3. Step 3: Cross multiply
    27,846.88x = 41,778.98 × 9,127.08
  4. Step 4: Simplify right side
    27,846.88x = 381,320,092.78
  5. Step 5: Solve for x
    x = 381,320,092.78/27,846.88
  6. Step 6: Final answer
    x = 13,693.46

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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.