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Finding the Fourth Proportional to 6,530.74, 9,796.12 and 2,369.82

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Solution

The fourth proportional to 6,530.74, 9,796.12 and 2,369.82 is: 3,554.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.74 : 9,796.12 = 2,369.82 : x
  2. Step 2: Convert to fraction form
    6,530.74/9,796.12 = 2,369.82/x
  3. Step 3: Cross multiply
    6,530.74x = 9,796.12 × 2,369.82
  4. Step 4: Simplify right side
    6,530.74x = 23,215,041.10
  5. Step 5: Solve for x
    x = 23,215,041.10/6,530.74
  6. Step 6: Final answer
    x = 3,554.73

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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.