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Finding the Fourth Proportional to 6,874, 9,486.03 and 3,730.30

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Solution

The fourth proportional to 6,874, 9,486.03 and 3,730.30 is: 5,147.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,874 : 9,486.03 = 3,730.30 : x
  2. Step 2: Convert to fraction form
    6,874/9,486.03 = 3,730.30/x
  3. Step 3: Cross multiply
    6,874x = 9,486.03 × 3,730.30
  4. Step 4: Simplify right side
    6,874x = 35,385,737.71
  5. Step 5: Solve for x
    x = 35,385,737.71/6,874
  6. Step 6: Final answer
    x = 5,147.77

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.