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Finding the Fourth Proportional to 6,975.01, 10,464.05 and 3,277.27

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Solution

The fourth proportional to 6,975.01, 10,464.05 and 3,277.27 is: 4,916.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,975.01 : 10,464.05 = 3,277.27 : x
  2. Step 2: Convert to fraction form
    6,975.01/10,464.05 = 3,277.27/x
  3. Step 3: Cross multiply
    6,975.01x = 10,464.05 × 3,277.27
  4. Step 4: Simplify right side
    6,975.01x = 34,293,517.14
  5. Step 5: Solve for x
    x = 34,293,517.14/6,975.01
  6. Step 6: Final answer
    x = 4,916.63

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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.