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Finding the Fourth Proportional to 6,097, 9,145.10 and 3,176.96

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Solution

The fourth proportional to 6,097, 9,145.10 and 3,176.96 is: 4,765.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097 : 9,145.10 = 3,176.96 : x
  2. Step 2: Convert to fraction form
    6,097/9,145.10 = 3,176.96/x
  3. Step 3: Cross multiply
    6,097x = 9,145.10 × 3,176.96
  4. Step 4: Simplify right side
    6,097x = 29,053,616.90
  5. Step 5: Solve for x
    x = 29,053,616.90/6,097
  6. Step 6: Final answer
    x = 4,765.23

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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.