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Finding the Fourth Proportional to 6,358.58, 9,538.14 and 2,409.44

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Solution

The fourth proportional to 6,358.58, 9,538.14 and 2,409.44 is: 3,614.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.58 : 9,538.14 = 2,409.44 : x
  2. Step 2: Convert to fraction form
    6,358.58/9,538.14 = 2,409.44/x
  3. Step 3: Cross multiply
    6,358.58x = 9,538.14 × 2,409.44
  4. Step 4: Simplify right side
    6,358.58x = 22,981,576.04
  5. Step 5: Solve for x
    x = 22,981,576.04/6,358.58
  6. Step 6: Final answer
    x = 3,614.26

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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.