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Finding the Fourth Proportional to 6,590.09, 9,884.09 and 2,207.58

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Solution

The fourth proportional to 6,590.09, 9,884.09 and 2,207.58 is: 3,311.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.09 : 9,884.09 = 2,207.58 : x
  2. Step 2: Convert to fraction form
    6,590.09/9,884.09 = 2,207.58/x
  3. Step 3: Cross multiply
    6,590.09x = 9,884.09 × 2,207.58
  4. Step 4: Simplify right side
    6,590.09x = 21,819,924.92
  5. Step 5: Solve for x
    x = 21,819,924.92/6,590.09
  6. Step 6: Final answer
    x = 3,311.02

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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.