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Finding the Fourth Proportional to 7,107.66, 9,806.01 and 4,235.81

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Solution

The fourth proportional to 7,107.66, 9,806.01 and 4,235.81 is: 5,843.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.66 : 9,806.01 = 4,235.81 : x
  2. Step 2: Convert to fraction form
    7,107.66/9,806.01 = 4,235.81/x
  3. Step 3: Cross multiply
    7,107.66x = 9,806.01 × 4,235.81
  4. Step 4: Simplify right side
    7,107.66x = 41,536,330.30
  5. Step 5: Solve for x
    x = 41,536,330.30/7,107.66
  6. Step 6: Final answer
    x = 5,843.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.