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Finding the Fourth Proportional to 6,976.60, 10,465.21 and 3,468.29

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Solution

The fourth proportional to 6,976.60, 10,465.21 and 3,468.29 is: 5,202.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.60 : 10,465.21 = 3,468.29 : x
  2. Step 2: Convert to fraction form
    6,976.60/10,465.21 = 3,468.29/x
  3. Step 3: Cross multiply
    6,976.60x = 10,465.21 × 3,468.29
  4. Step 4: Simplify right side
    6,976.60x = 36,296,339.69
  5. Step 5: Solve for x
    x = 36,296,339.69/6,976.60
  6. Step 6: Final answer
    x = 5,202.58

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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.