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Finding the Fourth Proportional to 6,098.20, 8,415.72 and 3,739.88

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Solution

The fourth proportional to 6,098.20, 8,415.72 and 3,739.88 is: 5,161.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.20 : 8,415.72 = 3,739.88 : x
  2. Step 2: Convert to fraction form
    6,098.20/8,415.72 = 3,739.88/x
  3. Step 3: Cross multiply
    6,098.20x = 8,415.72 × 3,739.88
  4. Step 4: Simplify right side
    6,098.20x = 31,473,782.91
  5. Step 5: Solve for x
    x = 31,473,782.91/6,098.20
  6. Step 6: Final answer
    x = 5,161.16

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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.