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Finding the Fourth Proportional to 27,644.49, 41,466.60 and 7,923.15

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Solution

The fourth proportional to 27,644.49, 41,466.60 and 7,923.15 is: 11,884.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,644.49 : 41,466.60 = 7,923.15 : x
  2. Step 2: Convert to fraction form
    27,644.49/41,466.60 = 7,923.15/x
  3. Step 3: Cross multiply
    27,644.49x = 41,466.60 × 7,923.15
  4. Step 4: Simplify right side
    27,644.49x = 328,546,091.79
  5. Step 5: Solve for x
    x = 328,546,091.79/27,644.49
  6. Step 6: Final answer
    x = 11,884.69

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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.