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Finding the Fourth Proportional to 27,923.43, 41,883.10 and 8,203.53

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Solution

The fourth proportional to 27,923.43, 41,883.10 and 8,203.53 is: 12,304.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,923.43 : 41,883.10 = 8,203.53 : x
  2. Step 2: Convert to fraction form
    27,923.43/41,883.10 = 8,203.53/x
  3. Step 3: Cross multiply
    27,923.43x = 41,883.10 × 8,203.53
  4. Step 4: Simplify right side
    27,923.43x = 343,589,267.34
  5. Step 5: Solve for x
    x = 343,589,267.34/27,923.43
  6. Step 6: Final answer
    x = 12,304.69

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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.