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Finding the Fourth Proportional to 6,953.70, 10,439.68 and 4,147.68

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Solution

The fourth proportional to 6,953.70, 10,439.68 and 4,147.68 is: 6,226.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,953.70 : 10,439.68 = 4,147.68 : x
  2. Step 2: Convert to fraction form
    6,953.70/10,439.68 = 4,147.68/x
  3. Step 3: Cross multiply
    6,953.70x = 10,439.68 × 4,147.68
  4. Step 4: Simplify right side
    6,953.70x = 43,300,451.94
  5. Step 5: Solve for x
    x = 43,300,451.94/6,953.70
  6. Step 6: Final answer
    x = 6,226.97

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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.