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Finding the Fourth Proportional to 6,331.58, 9,498.85 and 1,948.94

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Solution

The fourth proportional to 6,331.58, 9,498.85 and 1,948.94 is: 2,923.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.58 : 9,498.85 = 1,948.94 : x
  2. Step 2: Convert to fraction form
    6,331.58/9,498.85 = 1,948.94/x
  3. Step 3: Cross multiply
    6,331.58x = 9,498.85 × 1,948.94
  4. Step 4: Simplify right side
    6,331.58x = 18,512,688.72
  5. Step 5: Solve for x
    x = 18,512,688.72/6,331.58
  6. Step 6: Final answer
    x = 2,923.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.