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Finding the Fourth Proportional to 6,329.93, 8,734.92 and 3,497.24

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Solution

The fourth proportional to 6,329.93, 8,734.92 and 3,497.24 is: 4,825.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,329.93 : 8,734.92 = 3,497.24 : x
  2. Step 2: Convert to fraction form
    6,329.93/8,734.92 = 3,497.24/x
  3. Step 3: Cross multiply
    6,329.93x = 8,734.92 × 3,497.24
  4. Step 4: Simplify right side
    6,329.93x = 30,548,111.62
  5. Step 5: Solve for x
    x = 30,548,111.62/6,329.93
  6. Step 6: Final answer
    x = 4,825.98

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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.