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Finding the Fourth Proportional to 6,199.36, 9,300 and 2,038.42

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Solution

The fourth proportional to 6,199.36, 9,300 and 2,038.42 is: 3,057.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.36 : 9,300 = 2,038.42 : x
  2. Step 2: Convert to fraction form
    6,199.36/9,300 = 2,038.42/x
  3. Step 3: Cross multiply
    6,199.36x = 9,300 × 2,038.42
  4. Step 4: Simplify right side
    6,199.36x = 18,957,306
  5. Step 5: Solve for x
    x = 18,957,306/6,199.36
  6. Step 6: Final answer
    x = 3,057.95

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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.