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Finding the Fourth Proportional to 6,590.97, 9,887.67 and 2,211.57

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Solution

The fourth proportional to 6,590.97, 9,887.67 and 2,211.57 is: 3,317.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.97 : 9,887.67 = 2,211.57 : x
  2. Step 2: Convert to fraction form
    6,590.97/9,887.67 = 2,211.57/x
  3. Step 3: Cross multiply
    6,590.97x = 9,887.67 × 2,211.57
  4. Step 4: Simplify right side
    6,590.97x = 21,867,274.34
  5. Step 5: Solve for x
    x = 21,867,274.34/6,590.97
  6. Step 6: Final answer
    x = 3,317.76

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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.