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Finding the Fourth Proportional to 6,199.00, 9,301.97 and 4,815.11

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Solution

The fourth proportional to 6,199.00, 9,301.97 and 4,815.11 is: 7,225.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,199.00 : 9,301.97 = 4,815.11 : x
  2. Step 2: Convert to fraction form
    6,199.00/9,301.97 = 4,815.11/x
  3. Step 3: Cross multiply
    6,199.00x = 9,301.97 × 4,815.11
  4. Step 4: Simplify right side
    6,199.00x = 44,790,044.06
  5. Step 5: Solve for x
    x = 44,790,044.06/6,199.00
  6. Step 6: Final answer
    x = 7,225.37

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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.