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Finding the Fourth Proportional to 8,711.76, 12,963.24 and 8,682.72

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Solution

The fourth proportional to 8,711.76, 12,963.24 and 8,682.72 is: 12,920.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,711.76 : 12,963.24 = 8,682.72 : x
  2. Step 2: Convert to fraction form
    8,711.76/12,963.24 = 8,682.72/x
  3. Step 3: Cross multiply
    8,711.76x = 12,963.24 × 8,682.72
  4. Step 4: Simplify right side
    8,711.76x = 112,556,183.21
  5. Step 5: Solve for x
    x = 112,556,183.21/8,711.76
  6. Step 6: Final answer
    x = 12,920.03

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.