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Finding the Fourth Proportional to 6,601.44, 9,891.24 and 5,770.38

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Solution

The fourth proportional to 6,601.44, 9,891.24 and 5,770.38 is: 8,646.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,601.44 : 9,891.24 = 5,770.38 : x
  2. Step 2: Convert to fraction form
    6,601.44/9,891.24 = 5,770.38/x
  3. Step 3: Cross multiply
    6,601.44x = 9,891.24 × 5,770.38
  4. Step 4: Simplify right side
    6,601.44x = 57,076,213.47
  5. Step 5: Solve for x
    x = 57,076,213.47/6,601.44
  6. Step 6: Final answer
    x = 8,646.02

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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.