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Finding the Fourth Proportional to 6,170.86, 9,258.99 and 3,983.86

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Solution

The fourth proportional to 6,170.86, 9,258.99 and 3,983.86 is: 5,977.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,170.86 : 9,258.99 = 3,983.86 : x
  2. Step 2: Convert to fraction form
    6,170.86/9,258.99 = 3,983.86/x
  3. Step 3: Cross multiply
    6,170.86x = 9,258.99 × 3,983.86
  4. Step 4: Simplify right side
    6,170.86x = 36,886,519.90
  5. Step 5: Solve for x
    x = 36,886,519.90/6,170.86
  6. Step 6: Final answer
    x = 5,977.53

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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.