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Finding the Fourth Proportional to 3,662.62, 5,494.77 and 1,197.63

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Solution

The fourth proportional to 3,662.62, 5,494.77 and 1,197.63 is: 1,796.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.62 : 5,494.77 = 1,197.63 : x
  2. Step 2: Convert to fraction form
    3,662.62/5,494.77 = 1,197.63/x
  3. Step 3: Cross multiply
    3,662.62x = 5,494.77 × 1,197.63
  4. Step 4: Simplify right side
    3,662.62x = 6,580,701.40
  5. Step 5: Solve for x
    x = 6,580,701.40/3,662.62
  6. Step 6: Final answer
    x = 1,796.72

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.