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Finding the Fourth Proportional to 6,564.98, 9,851.22 and 2,404.43

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Solution

The fourth proportional to 6,564.98, 9,851.22 and 2,404.43 is: 3,608.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,564.98 : 9,851.22 = 2,404.43 : x
  2. Step 2: Convert to fraction form
    6,564.98/9,851.22 = 2,404.43/x
  3. Step 3: Cross multiply
    6,564.98x = 9,851.22 × 2,404.43
  4. Step 4: Simplify right side
    6,564.98x = 23,686,568.90
  5. Step 5: Solve for x
    x = 23,686,568.90/6,564.98
  6. Step 6: Final answer
    x = 3,608.02

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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.