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Finding the Fourth Proportional to 6,566.48, 9,849.86 and 3,663.26

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Solution

The fourth proportional to 6,566.48, 9,849.86 and 3,663.26 is: 5,494.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,566.48 : 9,849.86 = 3,663.26 : x
  2. Step 2: Convert to fraction form
    6,566.48/9,849.86 = 3,663.26/x
  3. Step 3: Cross multiply
    6,566.48x = 9,849.86 × 3,663.26
  4. Step 4: Simplify right side
    6,566.48x = 36,082,530.58
  5. Step 5: Solve for x
    x = 36,082,530.58/6,566.48
  6. Step 6: Final answer
    x = 5,494.96

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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.