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Finding the Fourth Proportional to 6,198.42, 9,300 and 3,735

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Solution

The fourth proportional to 6,198.42, 9,300 and 3,735 is: 5,603.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,198.42 : 9,300 = 3,735 : x
  2. Step 2: Convert to fraction form
    6,198.42/9,300 = 3,735/x
  3. Step 3: Cross multiply
    6,198.42x = 9,300 × 3,735
  4. Step 4: Simplify right side
    6,198.42x = 34,735,500
  5. Step 5: Solve for x
    x = 34,735,500/6,198.42
  6. Step 6: Final answer
    x = 5,603.93

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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.