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Finding the Fourth Proportional to 6,534.38, 9,803.19 and 1,917.38

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Solution

The fourth proportional to 6,534.38, 9,803.19 and 1,917.38 is: 2,876.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.38 : 9,803.19 = 1,917.38 : x
  2. Step 2: Convert to fraction form
    6,534.38/9,803.19 = 1,917.38/x
  3. Step 3: Cross multiply
    6,534.38x = 9,803.19 × 1,917.38
  4. Step 4: Simplify right side
    6,534.38x = 18,796,391.43
  5. Step 5: Solve for x
    x = 18,796,391.43/6,534.38
  6. Step 6: Final answer
    x = 2,876.54

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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.