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Finding the Fourth Proportional to 6,274.77, 9,408.78 and 2,113.41

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Solution

The fourth proportional to 6,274.77, 9,408.78 and 2,113.41 is: 3,168.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,274.77 : 9,408.78 = 2,113.41 : x
  2. Step 2: Convert to fraction form
    6,274.77/9,408.78 = 2,113.41/x
  3. Step 3: Cross multiply
    6,274.77x = 9,408.78 × 2,113.41
  4. Step 4: Simplify right side
    6,274.77x = 19,884,609.74
  5. Step 5: Solve for x
    x = 19,884,609.74/6,274.77
  6. Step 6: Final answer
    x = 3,168.98

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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.