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Finding the Fourth Proportional to 6,941.60, 9,578.92 and 3,797.72

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Solution

The fourth proportional to 6,941.60, 9,578.92 and 3,797.72 is: 5,240.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.60 : 9,578.92 = 3,797.72 : x
  2. Step 2: Convert to fraction form
    6,941.60/9,578.92 = 3,797.72/x
  3. Step 3: Cross multiply
    6,941.60x = 9,578.92 × 3,797.72
  4. Step 4: Simplify right side
    6,941.60x = 36,378,056.06
  5. Step 5: Solve for x
    x = 36,378,056.06/6,941.60
  6. Step 6: Final answer
    x = 5,240.59

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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.