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Finding the Fourth Proportional to 6,849.63, 10,274.76 and 1,919.61

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Solution

The fourth proportional to 6,849.63, 10,274.76 and 1,919.61 is: 2,879.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,849.63 : 10,274.76 = 1,919.61 : x
  2. Step 2: Convert to fraction form
    6,849.63/10,274.76 = 1,919.61/x
  3. Step 3: Cross multiply
    6,849.63x = 10,274.76 × 1,919.61
  4. Step 4: Simplify right side
    6,849.63x = 19,723,532.04
  5. Step 5: Solve for x
    x = 19,723,532.04/6,849.63
  6. Step 6: Final answer
    x = 2,879.50

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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.