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Finding the Fourth Proportional to 27,171.46, 40,763.06 and 8,451.14

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Solution

The fourth proportional to 27,171.46, 40,763.06 and 8,451.14 is: 12,678.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,171.46 : 40,763.06 = 8,451.14 : x
  2. Step 2: Convert to fraction form
    27,171.46/40,763.06 = 8,451.14/x
  3. Step 3: Cross multiply
    27,171.46x = 40,763.06 × 8,451.14
  4. Step 4: Simplify right side
    27,171.46x = 344,494,326.89
  5. Step 5: Solve for x
    x = 344,494,326.89/27,171.46
  6. Step 6: Final answer
    x = 12,678.54

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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.