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Finding the Fourth Proportional to 6,914.50, 10,371.58 and 1,984.20

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Solution

The fourth proportional to 6,914.50, 10,371.58 and 1,984.20 is: 2,976.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,914.50 : 10,371.58 = 1,984.20 : x
  2. Step 2: Convert to fraction form
    6,914.50/10,371.58 = 1,984.20/x
  3. Step 3: Cross multiply
    6,914.50x = 10,371.58 × 1,984.20
  4. Step 4: Simplify right side
    6,914.50x = 20,579,245.18
  5. Step 5: Solve for x
    x = 20,579,245.18/6,914.50
  6. Step 6: Final answer
    x = 2,976.25

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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.