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Finding the Fourth Proportional to 6,578.88, 9,872.40 and 2,629.62

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Solution

The fourth proportional to 6,578.88, 9,872.40 and 2,629.62 is: 3,946.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.88 : 9,872.40 = 2,629.62 : x
  2. Step 2: Convert to fraction form
    6,578.88/9,872.40 = 2,629.62/x
  3. Step 3: Cross multiply
    6,578.88x = 9,872.40 × 2,629.62
  4. Step 4: Simplify right side
    6,578.88x = 25,960,660.49
  5. Step 5: Solve for x
    x = 25,960,660.49/6,578.88
  6. Step 6: Final answer
    x = 3,946.06

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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.