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Finding the Fourth Proportional to 6,823.82, 9,415.46 and 3,990.65

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Solution

The fourth proportional to 6,823.82, 9,415.46 and 3,990.65 is: 5,506.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.82 : 9,415.46 = 3,990.65 : x
  2. Step 2: Convert to fraction form
    6,823.82/9,415.46 = 3,990.65/x
  3. Step 3: Cross multiply
    6,823.82x = 9,415.46 × 3,990.65
  4. Step 4: Simplify right side
    6,823.82x = 37,573,738.42
  5. Step 5: Solve for x
    x = 37,573,738.42/6,823.82
  6. Step 6: Final answer
    x = 5,506.27

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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.