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Finding the Fourth Proportional to 27,728.77, 41,580.79 and 8,002.64

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Solution

The fourth proportional to 27,728.77, 41,580.79 and 8,002.64 is: 12,000.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,728.77 : 41,580.79 = 8,002.64 : x
  2. Step 2: Convert to fraction form
    27,728.77/41,580.79 = 8,002.64/x
  3. Step 3: Cross multiply
    27,728.77x = 41,580.79 × 8,002.64
  4. Step 4: Simplify right side
    27,728.77x = 332,756,093.29
  5. Step 5: Solve for x
    x = 332,756,093.29/27,728.77
  6. Step 6: Final answer
    x = 12,000.39

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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.