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Finding the Fourth Proportional to 6,097.86, 9,149.86 and 2,402.74

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Solution

The fourth proportional to 6,097.86, 9,149.86 and 2,402.74 is: 3,605.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.86 : 9,149.86 = 2,402.74 : x
  2. Step 2: Convert to fraction form
    6,097.86/9,149.86 = 2,402.74/x
  3. Step 3: Cross multiply
    6,097.86x = 9,149.86 × 2,402.74
  4. Step 4: Simplify right side
    6,097.86x = 21,984,723.32
  5. Step 5: Solve for x
    x = 21,984,723.32/6,097.86
  6. Step 6: Final answer
    x = 3,605.32

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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.