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Finding the Fourth Proportional to 6,446.97, 9,674.19 and 3,485.43

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Solution

The fourth proportional to 6,446.97, 9,674.19 and 3,485.43 is: 5,230.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.97 : 9,674.19 = 3,485.43 : x
  2. Step 2: Convert to fraction form
    6,446.97/9,674.19 = 3,485.43/x
  3. Step 3: Cross multiply
    6,446.97x = 9,674.19 × 3,485.43
  4. Step 4: Simplify right side
    6,446.97x = 33,718,712.05
  5. Step 5: Solve for x
    x = 33,718,712.05/6,446.97
  6. Step 6: Final answer
    x = 5,230.16

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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.