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Finding the Fourth Proportional to 6,494.60, 8,963.71 and 3,662.84

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Solution

The fourth proportional to 6,494.60, 8,963.71 and 3,662.84 is: 5,055.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,494.60 : 8,963.71 = 3,662.84 : x
  2. Step 2: Convert to fraction form
    6,494.60/8,963.71 = 3,662.84/x
  3. Step 3: Cross multiply
    6,494.60x = 8,963.71 × 3,662.84
  4. Step 4: Simplify right side
    6,494.60x = 32,832,635.54
  5. Step 5: Solve for x
    x = 32,832,635.54/6,494.60
  6. Step 6: Final answer
    x = 5,055.37

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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.