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Finding the Fourth Proportional to 4,067.83, 6,101.76 and 989.83

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Solution

The fourth proportional to 4,067.83, 6,101.76 and 989.83 is: 1,484.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067.83 : 6,101.76 = 989.83 : x
  2. Step 2: Convert to fraction form
    4,067.83/6,101.76 = 989.83/x
  3. Step 3: Cross multiply
    4,067.83x = 6,101.76 × 989.83
  4. Step 4: Simplify right side
    4,067.83x = 6,039,705.10
  5. Step 5: Solve for x
    x = 6,039,705.10/4,067.83
  6. Step 6: Final answer
    x = 1,484.75

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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.