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Finding the Fourth Proportional to 6,139.62, 9,210.03 and 2,441.03

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Solution

The fourth proportional to 6,139.62, 9,210.03 and 2,441.03 is: 3,661.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,139.62 : 9,210.03 = 2,441.03 : x
  2. Step 2: Convert to fraction form
    6,139.62/9,210.03 = 2,441.03/x
  3. Step 3: Cross multiply
    6,139.62x = 9,210.03 × 2,441.03
  4. Step 4: Simplify right side
    6,139.62x = 22,481,904.33
  5. Step 5: Solve for x
    x = 22,481,904.33/6,139.62
  6. Step 6: Final answer
    x = 3,661.77

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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.