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Finding the Fourth Proportional to 6,497.39, 9,745.74 and 3,722.33

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Solution

The fourth proportional to 6,497.39, 9,745.74 and 3,722.33 is: 5,583.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.39 : 9,745.74 = 3,722.33 : x
  2. Step 2: Convert to fraction form
    6,497.39/9,745.74 = 3,722.33/x
  3. Step 3: Cross multiply
    6,497.39x = 9,745.74 × 3,722.33
  4. Step 4: Simplify right side
    6,497.39x = 36,276,811.65
  5. Step 5: Solve for x
    x = 36,276,811.65/6,497.39
  6. Step 6: Final answer
    x = 5,583.29

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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.