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Finding the Fourth Proportional to 6,097.12, 8,414.22 and 3,741.64

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Solution

The fourth proportional to 6,097.12, 8,414.22 and 3,741.64 is: 5,163.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.12 : 8,414.22 = 3,741.64 : x
  2. Step 2: Convert to fraction form
    6,097.12/8,414.22 = 3,741.64/x
  3. Step 3: Cross multiply
    6,097.12x = 8,414.22 × 3,741.64
  4. Step 4: Simplify right side
    6,097.12x = 31,482,982.12
  5. Step 5: Solve for x
    x = 31,482,982.12/6,097.12
  6. Step 6: Final answer
    x = 5,163.58

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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.