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Finding the Fourth Proportional to 6,274.85, 9,410.69 and 2,578.10

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Solution

The fourth proportional to 6,274.85, 9,410.69 and 2,578.10 is: 3,866.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.85 : 9,410.69 = 2,578.10 : x
  2. Step 2: Convert to fraction form
    6,274.85/9,410.69 = 2,578.10/x
  3. Step 3: Cross multiply
    6,274.85x = 9,410.69 × 2,578.10
  4. Step 4: Simplify right side
    6,274.85x = 24,261,649.61
  5. Step 5: Solve for x
    x = 24,261,649.61/6,274.85
  6. Step 6: Final answer
    x = 3,866.49

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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.