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Finding the Fourth Proportional to 6,174.97, 8,520.12 and 3,657.86

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Solution

The fourth proportional to 6,174.97, 8,520.12 and 3,657.86 is: 5,047.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,174.97 : 8,520.12 = 3,657.86 : x
  2. Step 2: Convert to fraction form
    6,174.97/8,520.12 = 3,657.86/x
  3. Step 3: Cross multiply
    6,174.97x = 8,520.12 × 3,657.86
  4. Step 4: Simplify right side
    6,174.97x = 31,165,395.49
  5. Step 5: Solve for x
    x = 31,165,395.49/6,174.97
  6. Step 6: Final answer
    x = 5,047.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.