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Finding the Fourth Proportional to 27,644.92, 41,467.66 and 6,868.42

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Solution

The fourth proportional to 27,644.92, 41,467.66 and 6,868.42 is: 10,302.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,644.92 : 41,467.66 = 6,868.42 : x
  2. Step 2: Convert to fraction form
    27,644.92/41,467.66 = 6,868.42/x
  3. Step 3: Cross multiply
    27,644.92x = 41,467.66 × 6,868.42
  4. Step 4: Simplify right side
    27,644.92x = 284,817,184.46
  5. Step 5: Solve for x
    x = 284,817,184.46/27,644.92
  6. Step 6: Final answer
    x = 10,302.70

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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.