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Finding the Fourth Proportional to 6,274.80, 9,416.04 and 2,578.80

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Solution

The fourth proportional to 6,274.80, 9,416.04 and 2,578.80 is: 3,869.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.80 : 9,416.04 = 2,578.80 : x
  2. Step 2: Convert to fraction form
    6,274.80/9,416.04 = 2,578.80/x
  3. Step 3: Cross multiply
    6,274.80x = 9,416.04 × 2,578.80
  4. Step 4: Simplify right side
    6,274.80x = 24,282,083.95
  5. Step 5: Solve for x
    x = 24,282,083.95/6,274.80
  6. Step 6: Final answer
    x = 3,869.78

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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.