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Finding the Fourth Proportional to 14,466.20, 21,695 and 6,146.14

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Solution

The fourth proportional to 14,466.20, 21,695 and 6,146.14 is: 9,217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,466.20 : 21,695 = 6,146.14 : x
  2. Step 2: Convert to fraction form
    14,466.20/21,695 = 6,146.14/x
  3. Step 3: Cross multiply
    14,466.20x = 21,695 × 6,146.14
  4. Step 4: Simplify right side
    14,466.20x = 133,340,507.30
  5. Step 5: Solve for x
    x = 133,340,507.30/14,466.20
  6. Step 6: Final answer
    x = 9,217.38

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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.