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Finding the Fourth Proportional to 6,074.84, 9,102.42 and 3,149

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Solution

The fourth proportional to 6,074.84, 9,102.42 and 3,149 is: 4,718.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074.84 : 9,102.42 = 3,149 : x
  2. Step 2: Convert to fraction form
    6,074.84/9,102.42 = 3,149/x
  3. Step 3: Cross multiply
    6,074.84x = 9,102.42 × 3,149
  4. Step 4: Simplify right side
    6,074.84x = 28,663,520.58
  5. Step 5: Solve for x
    x = 28,663,520.58/6,074.84
  6. Step 6: Final answer
    x = 4,718.40

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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.