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Finding the Fourth Proportional to 6,805.82, 10,208.70 and 2,423.44

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Solution

The fourth proportional to 6,805.82, 10,208.70 and 2,423.44 is: 3,635.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,805.82 : 10,208.70 = 2,423.44 : x
  2. Step 2: Convert to fraction form
    6,805.82/10,208.70 = 2,423.44/x
  3. Step 3: Cross multiply
    6,805.82x = 10,208.70 × 2,423.44
  4. Step 4: Simplify right side
    6,805.82x = 24,740,171.93
  5. Step 5: Solve for x
    x = 24,740,171.93/6,805.82
  6. Step 6: Final answer
    x = 3,635.15

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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.