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Finding the Fourth Proportional to 6,551.34, 9,823.60 and 2,167.21

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Solution

The fourth proportional to 6,551.34, 9,823.60 and 2,167.21 is: 3,249.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,551.34 : 9,823.60 = 2,167.21 : x
  2. Step 2: Convert to fraction form
    6,551.34/9,823.60 = 2,167.21/x
  3. Step 3: Cross multiply
    6,551.34x = 9,823.60 × 2,167.21
  4. Step 4: Simplify right side
    6,551.34x = 21,289,804.16
  5. Step 5: Solve for x
    x = 21,289,804.16/6,551.34
  6. Step 6: Final answer
    x = 3,249.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.