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Finding the Fourth Proportional to 6,548.53, 9,821.82 and 2,166.01

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Solution

The fourth proportional to 6,548.53, 9,821.82 and 2,166.01 is: 3,248.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,548.53 : 9,821.82 = 2,166.01 : x
  2. Step 2: Convert to fraction form
    6,548.53/9,821.82 = 2,166.01/x
  3. Step 3: Cross multiply
    6,548.53x = 9,821.82 × 2,166.01
  4. Step 4: Simplify right side
    6,548.53x = 21,274,160.34
  5. Step 5: Solve for x
    x = 21,274,160.34/6,548.53
  6. Step 6: Final answer
    x = 3,248.69

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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.