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Finding the Fourth Proportional to 6,329.70, 8,734.91 and 3,497.09

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Solution

The fourth proportional to 6,329.70, 8,734.91 and 3,497.09 is: 4,825.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.70 : 8,734.91 = 3,497.09 : x
  2. Step 2: Convert to fraction form
    6,329.70/8,734.91 = 3,497.09/x
  3. Step 3: Cross multiply
    6,329.70x = 8,734.91 × 3,497.09
  4. Step 4: Simplify right side
    6,329.70x = 30,546,705.25
  5. Step 5: Solve for x
    x = 30,546,705.25/6,329.70
  6. Step 6: Final answer
    x = 4,825.93

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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.