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Finding the Fourth Proportional to 14,614, 21,922.04 and 4,226.56

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Solution

The fourth proportional to 14,614, 21,922.04 and 4,226.56 is: 6,340.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,614 : 21,922.04 = 4,226.56 : x
  2. Step 2: Convert to fraction form
    14,614/21,922.04 = 4,226.56/x
  3. Step 3: Cross multiply
    14,614x = 21,922.04 × 4,226.56
  4. Step 4: Simplify right side
    14,614x = 92,654,817.38
  5. Step 5: Solve for x
    x = 92,654,817.38/14,614
  6. Step 6: Final answer
    x = 6,340.14

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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.