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Finding the Fourth Proportional to 8,182.62, 12,274.04 and 2,339.24

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Solution

The fourth proportional to 8,182.62, 12,274.04 and 2,339.24 is: 3,508.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,182.62 : 12,274.04 = 2,339.24 : x
  2. Step 2: Convert to fraction form
    8,182.62/12,274.04 = 2,339.24/x
  3. Step 3: Cross multiply
    8,182.62x = 12,274.04 × 2,339.24
  4. Step 4: Simplify right side
    8,182.62x = 28,711,869.81
  5. Step 5: Solve for x
    x = 28,711,869.81/8,182.62
  6. Step 6: Final answer
    x = 3,508.88

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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.