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Finding the Fourth Proportional to 27,707.86, 41,552.34 and 7,981.12

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Solution

The fourth proportional to 27,707.86, 41,552.34 and 7,981.12 is: 11,968.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,707.86 : 41,552.34 = 7,981.12 : x
  2. Step 2: Convert to fraction form
    27,707.86/41,552.34 = 7,981.12/x
  3. Step 3: Cross multiply
    27,707.86x = 41,552.34 × 7,981.12
  4. Step 4: Simplify right side
    27,707.86x = 331,634,211.82
  5. Step 5: Solve for x
    x = 331,634,211.82/27,707.86
  6. Step 6: Final answer
    x = 11,968.96

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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.