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Finding the Fourth Proportional to 6,826.01, 10,237.73 and 1,894.32

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Solution

The fourth proportional to 6,826.01, 10,237.73 and 1,894.32 is: 2,841.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.01 : 10,237.73 = 1,894.32 : x
  2. Step 2: Convert to fraction form
    6,826.01/10,237.73 = 1,894.32/x
  3. Step 3: Cross multiply
    6,826.01x = 10,237.73 × 1,894.32
  4. Step 4: Simplify right side
    6,826.01x = 19,393,527.22
  5. Step 5: Solve for x
    x = 19,393,527.22/6,826.01
  6. Step 6: Final answer
    x = 2,841.12

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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.