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Finding the Fourth Proportional to 6,578.82, 9,078.99 and 3,594.58

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Solution

The fourth proportional to 6,578.82, 9,078.99 and 3,594.58 is: 4,960.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.82 : 9,078.99 = 3,594.58 : x
  2. Step 2: Convert to fraction form
    6,578.82/9,078.99 = 3,594.58/x
  3. Step 3: Cross multiply
    6,578.82x = 9,078.99 × 3,594.58
  4. Step 4: Simplify right side
    6,578.82x = 32,635,119.70
  5. Step 5: Solve for x
    x = 32,635,119.70/6,578.82
  6. Step 6: Final answer
    x = 4,960.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.