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Finding the Fourth Proportional to 6,590.24, 9,885.54 and 2,207.72

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Solution

The fourth proportional to 6,590.24, 9,885.54 and 2,207.72 is: 3,311.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,590.24 : 9,885.54 = 2,207.72 : x
  2. Step 2: Convert to fraction form
    6,590.24/9,885.54 = 2,207.72/x
  3. Step 3: Cross multiply
    6,590.24x = 9,885.54 × 2,207.72
  4. Step 4: Simplify right side
    6,590.24x = 21,824,504.37
  5. Step 5: Solve for x
    x = 21,824,504.37/6,590.24
  6. Step 6: Final answer
    x = 3,311.64

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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.