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Finding the Fourth Proportional to 6,279.09, 9,419.16 and 3,157.49

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Solution

The fourth proportional to 6,279.09, 9,419.16 and 3,157.49 is: 4,736.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,279.09 : 9,419.16 = 3,157.49 : x
  2. Step 2: Convert to fraction form
    6,279.09/9,419.16 = 3,157.49/x
  3. Step 3: Cross multiply
    6,279.09x = 9,419.16 × 3,157.49
  4. Step 4: Simplify right side
    6,279.09x = 29,740,938.90
  5. Step 5: Solve for x
    x = 29,740,938.90/6,279.09
  6. Step 6: Final answer
    x = 4,736.50

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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.