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Finding the Fourth Proportional to 8,003.64, 12,006.87 and 2,737.42

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Solution

The fourth proportional to 8,003.64, 12,006.87 and 2,737.42 is: 4,106.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,003.64 : 12,006.87 = 2,737.42 : x
  2. Step 2: Convert to fraction form
    8,003.64/12,006.87 = 2,737.42/x
  3. Step 3: Cross multiply
    8,003.64x = 12,006.87 × 2,737.42
  4. Step 4: Simplify right side
    8,003.64x = 32,867,816.06
  5. Step 5: Solve for x
    x = 32,867,816.06/8,003.64
  6. Step 6: Final answer
    x = 4,106.61

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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.