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Finding the Fourth Proportional to 4,067.63, 6,101.46 and 989.63

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Solution

The fourth proportional to 4,067.63, 6,101.46 and 989.63 is: 1,484.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067.63 : 6,101.46 = 989.63 : x
  2. Step 2: Convert to fraction form
    4,067.63/6,101.46 = 989.63/x
  3. Step 3: Cross multiply
    4,067.63x = 6,101.46 × 989.63
  4. Step 4: Simplify right side
    4,067.63x = 6,038,157.35
  5. Step 5: Solve for x
    x = 6,038,157.35/4,067.63
  6. Step 6: Final answer
    x = 1,484.44

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Similar ratio
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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.