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Finding the Fourth Proportional to 27,562.72, 41,344.24 and 6,786.08

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Solution

The fourth proportional to 27,562.72, 41,344.24 and 6,786.08 is: 10,179.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,562.72 : 41,344.24 = 6,786.08 : x
  2. Step 2: Convert to fraction form
    27,562.72/41,344.24 = 6,786.08/x
  3. Step 3: Cross multiply
    27,562.72x = 41,344.24 × 6,786.08
  4. Step 4: Simplify right side
    27,562.72x = 280,565,320.18
  5. Step 5: Solve for x
    x = 280,565,320.18/27,562.72
  6. Step 6: Final answer
    x = 10,179.16

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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.