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Finding the Fourth Proportional to 5,843.68, 8,770.14 and 5,151.70

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Solution

The fourth proportional to 5,843.68, 8,770.14 and 5,151.70 is: 7,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,843.68 : 8,770.14 = 5,151.70 : x
  2. Step 2: Convert to fraction form
    5,843.68/8,770.14 = 5,151.70/x
  3. Step 3: Cross multiply
    5,843.68x = 8,770.14 × 5,151.70
  4. Step 4: Simplify right side
    5,843.68x = 45,181,141.20
  5. Step 5: Solve for x
    x = 45,181,141.20/5,843.68
  6. Step 6: Final answer
    x = 7,731.63

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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.