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Finding the Fourth Proportional to 6,331.50, 9,498.60 and 1,949.40

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Solution

The fourth proportional to 6,331.50, 9,498.60 and 1,949.40 is: 2,924.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,331.50 : 9,498.60 = 1,949.40 : x
  2. Step 2: Convert to fraction form
    6,331.50/9,498.60 = 1,949.40/x
  3. Step 3: Cross multiply
    6,331.50x = 9,498.60 × 1,949.40
  4. Step 4: Simplify right side
    6,331.50x = 18,516,570.84
  5. Step 5: Solve for x
    x = 18,516,570.84/6,331.50
  6. Step 6: Final answer
    x = 2,924.52

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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.