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Finding the Fourth Proportional to 10,160.70, 15,234.84 and 6,646.44

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Solution

The fourth proportional to 10,160.70, 15,234.84 and 6,646.44 is: 9,965.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,160.70 : 15,234.84 = 6,646.44 : x
  2. Step 2: Convert to fraction form
    10,160.70/15,234.84 = 6,646.44/x
  3. Step 3: Cross multiply
    10,160.70x = 15,234.84 × 6,646.44
  4. Step 4: Simplify right side
    10,160.70x = 101,257,449.97
  5. Step 5: Solve for x
    x = 101,257,449.97/10,160.70
  6. Step 6: Final answer
    x = 9,965.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.