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Finding the Fourth Proportional to 27,666.52, 41,499.74 and 9,198.52

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Solution

The fourth proportional to 27,666.52, 41,499.74 and 9,198.52 is: 13,797.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,666.52 : 41,499.74 = 9,198.52 : x
  2. Step 2: Convert to fraction form
    27,666.52/41,499.74 = 9,198.52/x
  3. Step 3: Cross multiply
    27,666.52x = 41,499.74 × 9,198.52
  4. Step 4: Simplify right side
    27,666.52x = 381,736,188.38
  5. Step 5: Solve for x
    x = 381,736,188.38/27,666.52
  6. Step 6: Final answer
    x = 13,797.77

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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.