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Finding the Fourth Proportional to 6,737.40, 9,292.86 and 3,943.44

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Solution

The fourth proportional to 6,737.40, 9,292.86 and 3,943.44 is: 5,439.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,737.40 : 9,292.86 = 3,943.44 : x
  2. Step 2: Convert to fraction form
    6,737.40/9,292.86 = 3,943.44/x
  3. Step 3: Cross multiply
    6,737.40x = 9,292.86 × 3,943.44
  4. Step 4: Simplify right side
    6,737.40x = 36,645,835.84
  5. Step 5: Solve for x
    x = 36,645,835.84/6,737.40
  6. Step 6: Final answer
    x = 5,439.17

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1.5x scale

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.