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Finding the Fourth Proportional to 6,568.47, 9,849.97 and 3,277.64

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Solution

The fourth proportional to 6,568.47, 9,849.97 and 3,277.64 is: 4,915.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,568.47 : 9,849.97 = 3,277.64 : x
  2. Step 2: Convert to fraction form
    6,568.47/9,849.97 = 3,277.64/x
  3. Step 3: Cross multiply
    6,568.47x = 9,849.97 × 3,277.64
  4. Step 4: Simplify right side
    6,568.47x = 32,284,655.67
  5. Step 5: Solve for x
    x = 32,284,655.67/6,568.47
  6. Step 6: Final answer
    x = 4,915.10

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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.