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Finding the Fourth Proportional to 6,074, 9,113.84 and 3,150.72

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Solution

The fourth proportional to 6,074, 9,113.84 and 3,150.72 is: 4,727.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,074 : 9,113.84 = 3,150.72 : x
  2. Step 2: Convert to fraction form
    6,074/9,113.84 = 3,150.72/x
  3. Step 3: Cross multiply
    6,074x = 9,113.84 × 3,150.72
  4. Step 4: Simplify right side
    6,074x = 28,715,157.96
  5. Step 5: Solve for x
    x = 28,715,157.96/6,074
  6. Step 6: Final answer
    x = 4,727.55

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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.