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Finding the Fourth Proportional to 6,391.77, 9,590.49 and 2,494.86

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Solution

The fourth proportional to 6,391.77, 9,590.49 and 2,494.86 is: 3,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,391.77 : 9,590.49 = 2,494.86 : x
  2. Step 2: Convert to fraction form
    6,391.77/9,590.49 = 2,494.86/x
  3. Step 3: Cross multiply
    6,391.77x = 9,590.49 × 2,494.86
  4. Step 4: Simplify right side
    6,391.77x = 23,926,929.88
  5. Step 5: Solve for x
    x = 23,926,929.88/6,391.77
  6. Step 6: Final answer
    x = 3,743.40

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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.