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Finding the Fourth Proportional to 8,178.58, 12,267.84 and 2,022.58

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Solution

The fourth proportional to 8,178.58, 12,267.84 and 2,022.58 is: 3,033.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.58 : 12,267.84 = 2,022.58 : x
  2. Step 2: Convert to fraction form
    8,178.58/12,267.84 = 2,022.58/x
  3. Step 3: Cross multiply
    8,178.58x = 12,267.84 × 2,022.58
  4. Step 4: Simplify right side
    8,178.58x = 24,812,687.83
  5. Step 5: Solve for x
    x = 24,812,687.83/8,178.58
  6. Step 6: Final answer
    x = 3,033.86

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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.