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Finding the Fourth Proportional to 6,190.58, 9,289.06 and 4,112.02

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Solution

The fourth proportional to 6,190.58, 9,289.06 and 4,112.02 is: 6,170.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,190.58 : 9,289.06 = 4,112.02 : x
  2. Step 2: Convert to fraction form
    6,190.58/9,289.06 = 4,112.02/x
  3. Step 3: Cross multiply
    6,190.58x = 9,289.06 × 4,112.02
  4. Step 4: Simplify right side
    6,190.58x = 38,196,800.50
  5. Step 5: Solve for x
    x = 38,196,800.50/6,190.58
  6. Step 6: Final answer
    x = 6,170.15

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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.