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Finding the Fourth Proportional to 27,754.98, 41,632.86 and 9,035.12

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Solution

The fourth proportional to 27,754.98, 41,632.86 and 9,035.12 is: 13,552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,754.98 : 41,632.86 = 9,035.12 : x
  2. Step 2: Convert to fraction form
    27,754.98/41,632.86 = 9,035.12/x
  3. Step 3: Cross multiply
    27,754.98x = 41,632.86 × 9,035.12
  4. Step 4: Simplify right side
    27,754.98x = 376,157,677.88
  5. Step 5: Solve for x
    x = 376,157,677.88/27,754.98
  6. Step 6: Final answer
    x = 13,552.80

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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.