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Finding the Fourth Proportional to 6,107.57, 9,162.59 and 2,597.57

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Solution

The fourth proportional to 6,107.57, 9,162.59 and 2,597.57 is: 3,896.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,107.57 : 9,162.59 = 2,597.57 : x
  2. Step 2: Convert to fraction form
    6,107.57/9,162.59 = 2,597.57/x
  3. Step 3: Cross multiply
    6,107.57x = 9,162.59 × 2,597.57
  4. Step 4: Simplify right side
    6,107.57x = 23,800,410.11
  5. Step 5: Solve for x
    x = 23,800,410.11/6,107.57
  6. Step 6: Final answer
    x = 3,896.87

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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.