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Finding the Fourth Proportional to 27,772.38, 41,658.54 and 6,995.88

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Solution

The fourth proportional to 27,772.38, 41,658.54 and 6,995.88 is: 10,493.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,772.38 : 41,658.54 = 6,995.88 : x
  2. Step 2: Convert to fraction form
    27,772.38/41,658.54 = 6,995.88/x
  3. Step 3: Cross multiply
    27,772.38x = 41,658.54 × 6,995.88
  4. Step 4: Simplify right side
    27,772.38x = 291,438,146.82
  5. Step 5: Solve for x
    x = 291,438,146.82/27,772.38
  6. Step 6: Final answer
    x = 10,493.81

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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.