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Finding the Fourth Proportional to 6,849.66, 10,265.49 and 3,730.98

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Solution

The fourth proportional to 6,849.66, 10,265.49 and 3,730.98 is: 5,591.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.66 : 10,265.49 = 3,730.98 : x
  2. Step 2: Convert to fraction form
    6,849.66/10,265.49 = 3,730.98/x
  3. Step 3: Cross multiply
    6,849.66x = 10,265.49 × 3,730.98
  4. Step 4: Simplify right side
    6,849.66x = 38,300,337.88
  5. Step 5: Solve for x
    x = 38,300,337.88/6,849.66
  6. Step 6: Final answer
    x = 5,591.57

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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.