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Finding the Fourth Proportional to 27,658.57, 41,488.01 and 6,882.07

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Solution

The fourth proportional to 27,658.57, 41,488.01 and 6,882.07 is: 10,323.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,658.57 : 41,488.01 = 6,882.07 : x
  2. Step 2: Convert to fraction form
    27,658.57/41,488.01 = 6,882.07/x
  3. Step 3: Cross multiply
    27,658.57x = 41,488.01 × 6,882.07
  4. Step 4: Simplify right side
    27,658.57x = 285,523,388.98
  5. Step 5: Solve for x
    x = 285,523,388.98/27,658.57
  6. Step 6: Final answer
    x = 10,323.14

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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.