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Finding the Fourth Proportional to 6,358.59, 9,537.94 and 2,609.42

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Solution

The fourth proportional to 6,358.59, 9,537.94 and 2,609.42 is: 3,914.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,358.59 : 9,537.94 = 2,609.42 : x
  2. Step 2: Convert to fraction form
    6,358.59/9,537.94 = 2,609.42/x
  3. Step 3: Cross multiply
    6,358.59x = 9,537.94 × 2,609.42
  4. Step 4: Simplify right side
    6,358.59x = 24,888,503.65
  5. Step 5: Solve for x
    x = 24,888,503.65/6,358.59
  6. Step 6: Final answer
    x = 3,914.16

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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.