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Finding the Fourth Proportional to 5,764.56, 8,646.96 and 2,067.12

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Solution

The fourth proportional to 5,764.56, 8,646.96 and 2,067.12 is: 3,100.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.56 : 8,646.96 = 2,067.12 : x
  2. Step 2: Convert to fraction form
    5,764.56/8,646.96 = 2,067.12/x
  3. Step 3: Cross multiply
    5,764.56x = 8,646.96 × 2,067.12
  4. Step 4: Simplify right side
    5,764.56x = 17,874,303.96
  5. Step 5: Solve for x
    x = 17,874,303.96/5,764.56
  6. Step 6: Final answer
    x = 3,100.72

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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.