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Finding the Fourth Proportional to 6,059.10, 9,074.07 and 4,105.38

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Solution

The fourth proportional to 6,059.10, 9,074.07 and 4,105.38 is: 6,148.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,059.10 : 9,074.07 = 4,105.38 : x
  2. Step 2: Convert to fraction form
    6,059.10/9,074.07 = 4,105.38/x
  3. Step 3: Cross multiply
    6,059.10x = 9,074.07 × 4,105.38
  4. Step 4: Simplify right side
    6,059.10x = 37,252,505.50
  5. Step 5: Solve for x
    x = 37,252,505.50/6,059.10
  6. Step 6: Final answer
    x = 6,148.19

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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.