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Finding the Fourth Proportional to 10,622, 15,939.84 and 4,466

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Solution

The fourth proportional to 10,622, 15,939.84 and 4,466 is: 6,701.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,622 : 15,939.84 = 4,466 : x
  2. Step 2: Convert to fraction form
    10,622/15,939.84 = 4,466/x
  3. Step 3: Cross multiply
    10,622x = 15,939.84 × 4,466
  4. Step 4: Simplify right side
    10,622x = 71,187,325.44
  5. Step 5: Solve for x
    x = 71,187,325.44/10,622
  6. Step 6: Final answer
    x = 6,701.88

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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.