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Finding the Fourth Proportional to 6,578.38, 9,074.78 and 4,453.98

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Solution

The fourth proportional to 6,578.38, 9,074.78 and 4,453.98 is: 6,144.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,578.38 : 9,074.78 = 4,453.98 : x
  2. Step 2: Convert to fraction form
    6,578.38/9,074.78 = 4,453.98/x
  3. Step 3: Cross multiply
    6,578.38x = 9,074.78 × 4,453.98
  4. Step 4: Simplify right side
    6,578.38x = 40,418,888.62
  5. Step 5: Solve for x
    x = 40,418,888.62/6,578.38
  6. Step 6: Final answer
    x = 6,144.20

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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.