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Finding the Fourth Proportional to 6,566.81, 9,850.23 and 1,636.44

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Solution

The fourth proportional to 6,566.81, 9,850.23 and 1,636.44 is: 2,454.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.81 : 9,850.23 = 1,636.44 : x
  2. Step 2: Convert to fraction form
    6,566.81/9,850.23 = 1,636.44/x
  3. Step 3: Cross multiply
    6,566.81x = 9,850.23 × 1,636.44
  4. Step 4: Simplify right side
    6,566.81x = 16,119,310.38
  5. Step 5: Solve for x
    x = 16,119,310.38/6,566.81
  6. Step 6: Final answer
    x = 2,454.66

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Similar ratio
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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.