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Finding the Fourth Proportional to 8,178, 12,267.04 and 2,022

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Solution

The fourth proportional to 8,178, 12,267.04 and 2,022 is: 3,033.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178 : 12,267.04 = 2,022 : x
  2. Step 2: Convert to fraction form
    8,178/12,267.04 = 2,022/x
  3. Step 3: Cross multiply
    8,178x = 12,267.04 × 2,022
  4. Step 4: Simplify right side
    8,178x = 24,803,954.88
  5. Step 5: Solve for x
    x = 24,803,954.88/8,178
  6. Step 6: Final answer
    x = 3,033.01

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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.