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Finding the Fourth Proportional to 6,274.41, 8,662.44 and 3,919.74

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Solution

The fourth proportional to 6,274.41, 8,662.44 and 3,919.74 is: 5,411.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.41 : 8,662.44 = 3,919.74 : x
  2. Step 2: Convert to fraction form
    6,274.41/8,662.44 = 3,919.74/x
  3. Step 3: Cross multiply
    6,274.41x = 8,662.44 × 3,919.74
  4. Step 4: Simplify right side
    6,274.41x = 33,954,512.57
  5. Step 5: Solve for x
    x = 33,954,512.57/6,274.41
  6. Step 6: Final answer
    x = 5,411.59

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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.