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Finding the Fourth Proportional to 6,474.09, 9,712.08 and 2,578.26

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Solution

The fourth proportional to 6,474.09, 9,712.08 and 2,578.26 is: 3,867.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.09 : 9,712.08 = 2,578.26 : x
  2. Step 2: Convert to fraction form
    6,474.09/9,712.08 = 2,578.26/x
  3. Step 3: Cross multiply
    6,474.09x = 9,712.08 × 2,578.26
  4. Step 4: Simplify right side
    6,474.09x = 25,040,267.38
  5. Step 5: Solve for x
    x = 25,040,267.38/6,474.09
  6. Step 6: Final answer
    x = 3,867.77

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1.5x scale

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.