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Finding the Fourth Proportional to 6,582.49, 9,872.67 and 2,421.47

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Solution

The fourth proportional to 6,582.49, 9,872.67 and 2,421.47 is: 3,631.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,582.49 : 9,872.67 = 2,421.47 : x
  2. Step 2: Convert to fraction form
    6,582.49/9,872.67 = 2,421.47/x
  3. Step 3: Cross multiply
    6,582.49x = 9,872.67 × 2,421.47
  4. Step 4: Simplify right side
    6,582.49x = 23,906,374.22
  5. Step 5: Solve for x
    x = 23,906,374.22/6,582.49
  6. Step 6: Final answer
    x = 3,631.81

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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.