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Finding the Fourth Proportional to 6,767.42, 10,152.41 and 3,069.94

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Solution

The fourth proportional to 6,767.42, 10,152.41 and 3,069.94 is: 4,605.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,767.42 : 10,152.41 = 3,069.94 : x
  2. Step 2: Convert to fraction form
    6,767.42/10,152.41 = 3,069.94/x
  3. Step 3: Cross multiply
    6,767.42x = 10,152.41 × 3,069.94
  4. Step 4: Simplify right side
    6,767.42x = 31,167,271.85
  5. Step 5: Solve for x
    x = 31,167,271.85/6,767.42
  6. Step 6: Final answer
    x = 4,605.49

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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.