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Finding the Fourth Proportional to 10,494.55, 15,738.15 and 3,097.05

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Solution

The fourth proportional to 10,494.55, 15,738.15 and 3,097.05 is: 4,644.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,494.55 : 15,738.15 = 3,097.05 : x
  2. Step 2: Convert to fraction form
    10,494.55/15,738.15 = 3,097.05/x
  3. Step 3: Cross multiply
    10,494.55x = 15,738.15 × 3,097.05
  4. Step 4: Simplify right side
    10,494.55x = 48,741,837.46
  5. Step 5: Solve for x
    x = 48,741,837.46/10,494.55
  6. Step 6: Final answer
    x = 4,644.49

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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.