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Finding the Fourth Proportional to 9,493.77, 13,097.39 and 6,350.97

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Solution

The fourth proportional to 9,493.77, 13,097.39 and 6,350.97 is: 8,761.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,493.77 : 13,097.39 = 6,350.97 : x
  2. Step 2: Convert to fraction form
    9,493.77/13,097.39 = 6,350.97/x
  3. Step 3: Cross multiply
    9,493.77x = 13,097.39 × 6,350.97
  4. Step 4: Simplify right side
    9,493.77x = 83,181,099.21
  5. Step 5: Solve for x
    x = 83,181,099.21/9,493.77
  6. Step 6: Final answer
    x = 8,761.65

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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.