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Finding the Fourth Proportional to 6,301.86, 9,452.97 and 1,919.32

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Solution

The fourth proportional to 6,301.86, 9,452.97 and 1,919.32 is: 2,879.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,301.86 : 9,452.97 = 1,919.32 : x
  2. Step 2: Convert to fraction form
    6,301.86/9,452.97 = 1,919.32/x
  3. Step 3: Cross multiply
    6,301.86x = 9,452.97 × 1,919.32
  4. Step 4: Simplify right side
    6,301.86x = 18,143,269.24
  5. Step 5: Solve for x
    x = 18,143,269.24/6,301.86
  6. Step 6: Final answer
    x = 2,879.03

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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.