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Finding the Fourth Proportional to 6,854.52, 10,276.90 and 2,960.04

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Solution

The fourth proportional to 6,854.52, 10,276.90 and 2,960.04 is: 4,437.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,854.52 : 10,276.90 = 2,960.04 : x
  2. Step 2: Convert to fraction form
    6,854.52/10,276.90 = 2,960.04/x
  3. Step 3: Cross multiply
    6,854.52x = 10,276.90 × 2,960.04
  4. Step 4: Simplify right side
    6,854.52x = 30,420,035.08
  5. Step 5: Solve for x
    x = 30,420,035.08/6,854.52
  6. Step 6: Final answer
    x = 4,437.95

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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.