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Finding the Fourth Proportional to 7,034.12, 10,550.50 and 2,874.50

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Solution

The fourth proportional to 7,034.12, 10,550.50 and 2,874.50 is: 4,311.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,034.12 : 10,550.50 = 2,874.50 : x
  2. Step 2: Convert to fraction form
    7,034.12/10,550.50 = 2,874.50/x
  3. Step 3: Cross multiply
    7,034.12x = 10,550.50 × 2,874.50
  4. Step 4: Simplify right side
    7,034.12x = 30,327,412.25
  5. Step 5: Solve for x
    x = 30,327,412.25/7,034.12
  6. Step 6: Final answer
    x = 4,311.47

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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.