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Finding the Fourth Proportional to 6,133.01, 9,197.69 and 2,236.50

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Solution

The fourth proportional to 6,133.01, 9,197.69 and 2,236.50 is: 3,354.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.01 : 9,197.69 = 2,236.50 : x
  2. Step 2: Convert to fraction form
    6,133.01/9,197.69 = 2,236.50/x
  3. Step 3: Cross multiply
    6,133.01x = 9,197.69 × 2,236.50
  4. Step 4: Simplify right side
    6,133.01x = 20,570,622.50
  5. Step 5: Solve for x
    x = 20,570,622.50/6,133.01
  6. Step 6: Final answer
    x = 3,354.09

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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.