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Finding the Fourth Proportional to 6,590.74, 9,886.97 and 2,433.66

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Solution

The fourth proportional to 6,590.74, 9,886.97 and 2,433.66 is: 3,650.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.74 : 9,886.97 = 2,433.66 : x
  2. Step 2: Convert to fraction form
    6,590.74/9,886.97 = 2,433.66/x
  3. Step 3: Cross multiply
    6,590.74x = 9,886.97 × 2,433.66
  4. Step 4: Simplify right side
    6,590.74x = 24,061,511.24
  5. Step 5: Solve for x
    x = 24,061,511.24/6,590.74
  6. Step 6: Final answer
    x = 3,650.81

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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.