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Finding the Fourth Proportional to 10,493.22, 15,757.38 and 6,553.65

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Solution

The fourth proportional to 10,493.22, 15,757.38 and 6,553.65 is: 9,841.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493.22 : 15,757.38 = 6,553.65 : x
  2. Step 2: Convert to fraction form
    10,493.22/15,757.38 = 6,553.65/x
  3. Step 3: Cross multiply
    10,493.22x = 15,757.38 × 6,553.65
  4. Step 4: Simplify right side
    10,493.22x = 103,268,353.44
  5. Step 5: Solve for x
    x = 103,268,353.44/10,493.22
  6. Step 6: Final answer
    x = 9,841.44

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1.5x scale

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.