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Finding the Fourth Proportional to 6,771.94, 10,157.10 and 3,074.02

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Solution

The fourth proportional to 6,771.94, 10,157.10 and 3,074.02 is: 4,610.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,771.94 : 10,157.10 = 3,074.02 : x
  2. Step 2: Convert to fraction form
    6,771.94/10,157.10 = 3,074.02/x
  3. Step 3: Cross multiply
    6,771.94x = 10,157.10 × 3,074.02
  4. Step 4: Simplify right side
    6,771.94x = 31,223,128.54
  5. Step 5: Solve for x
    x = 31,223,128.54/6,771.94
  6. Step 6: Final answer
    x = 4,610.66

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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.