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Finding the Fourth Proportional to 6,578.67, 9,074.79 and 4,184.31

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Solution

The fourth proportional to 6,578.67, 9,074.79 and 4,184.31 is: 5,771.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.67 : 9,074.79 = 4,184.31 : x
  2. Step 2: Convert to fraction form
    6,578.67/9,074.79 = 4,184.31/x
  3. Step 3: Cross multiply
    6,578.67x = 9,074.79 × 4,184.31
  4. Step 4: Simplify right side
    6,578.67x = 37,971,734.54
  5. Step 5: Solve for x
    x = 37,971,734.54/6,578.67
  6. Step 6: Final answer
    x = 5,771.95

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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.