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Finding the Fourth Proportional to 6,141.50, 9,205.08 and 2,630.51

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Solution

The fourth proportional to 6,141.50, 9,205.08 and 2,630.51 is: 3,942.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.50 : 9,205.08 = 2,630.51 : x
  2. Step 2: Convert to fraction form
    6,141.50/9,205.08 = 2,630.51/x
  3. Step 3: Cross multiply
    6,141.50x = 9,205.08 × 2,630.51
  4. Step 4: Simplify right side
    6,141.50x = 24,214,054.99
  5. Step 5: Solve for x
    x = 24,214,054.99/6,141.50
  6. Step 6: Final answer
    x = 3,942.69

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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.