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Finding the Fourth Proportional to 8,154.66, 12,232.10 and 2,311.27

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Solution

The fourth proportional to 8,154.66, 12,232.10 and 2,311.27 is: 3,466.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,154.66 : 12,232.10 = 2,311.27 : x
  2. Step 2: Convert to fraction form
    8,154.66/12,232.10 = 2,311.27/x
  3. Step 3: Cross multiply
    8,154.66x = 12,232.10 × 2,311.27
  4. Step 4: Simplify right side
    8,154.66x = 28,271,660.96
  5. Step 5: Solve for x
    x = 28,271,660.96/8,154.66
  6. Step 6: Final answer
    x = 3,466.93

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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.