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Finding the Fourth Proportional to 6,966, 9,612.95 and 3,981.69

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Solution

The fourth proportional to 6,966, 9,612.95 and 3,981.69 is: 5,494.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,966 : 9,612.95 = 3,981.69 : x
  2. Step 2: Convert to fraction form
    6,966/9,612.95 = 3,981.69/x
  3. Step 3: Cross multiply
    6,966x = 9,612.95 × 3,981.69
  4. Step 4: Simplify right side
    6,966x = 38,275,766.98
  5. Step 5: Solve for x
    x = 38,275,766.98/6,966
  6. Step 6: Final answer
    x = 5,494.66

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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.