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Finding the Fourth Proportional to 9,324.76, 12,864 and 5,967.04

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Solution

The fourth proportional to 9,324.76, 12,864 and 5,967.04 is: 8,231.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.76 : 12,864 = 5,967.04 : x
  2. Step 2: Convert to fraction form
    9,324.76/12,864 = 5,967.04/x
  3. Step 3: Cross multiply
    9,324.76x = 12,864 × 5,967.04
  4. Step 4: Simplify right side
    9,324.76x = 76,760,002.56
  5. Step 5: Solve for x
    x = 76,760,002.56/9,324.76
  6. Step 6: Final answer
    x = 8,231.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.