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Finding the Fourth Proportional to 27,732.92, 41,599.41 and 6,956.42

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Solution

The fourth proportional to 27,732.92, 41,599.41 and 6,956.42 is: 10,434.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,732.92 : 41,599.41 = 6,956.42 : x
  2. Step 2: Convert to fraction form
    27,732.92/41,599.41 = 6,956.42/x
  3. Step 3: Cross multiply
    27,732.92x = 41,599.41 × 6,956.42
  4. Step 4: Simplify right side
    27,732.92x = 289,382,967.71
  5. Step 5: Solve for x
    x = 289,382,967.71/27,732.92
  6. Step 6: Final answer
    x = 10,434.64

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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.