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Finding the Fourth Proportional to 6,646.89, 9,963.24 and 3,524.94

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Solution

The fourth proportional to 6,646.89, 9,963.24 and 3,524.94 is: 5,283.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,646.89 : 9,963.24 = 3,524.94 : x
  2. Step 2: Convert to fraction form
    6,646.89/9,963.24 = 3,524.94/x
  3. Step 3: Cross multiply
    6,646.89x = 9,963.24 × 3,524.94
  4. Step 4: Simplify right side
    6,646.89x = 35,119,823.21
  5. Step 5: Solve for x
    x = 35,119,823.21/6,646.89
  6. Step 6: Final answer
    x = 5,283.65

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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.