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Finding the Fourth Proportional to 6,235.87, 9,353.78 and 2,537.22

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Solution

The fourth proportional to 6,235.87, 9,353.78 and 2,537.22 is: 3,805.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,235.87 : 9,353.78 = 2,537.22 : x
  2. Step 2: Convert to fraction form
    6,235.87/9,353.78 = 2,537.22/x
  3. Step 3: Cross multiply
    6,235.87x = 9,353.78 × 2,537.22
  4. Step 4: Simplify right side
    6,235.87x = 23,732,585.01
  5. Step 5: Solve for x
    x = 23,732,585.01/6,235.87
  6. Step 6: Final answer
    x = 3,805.82

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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.