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Finding the Fourth Proportional to 6,911.50, 10,366.98 and 1,980.94

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Solution

The fourth proportional to 6,911.50, 10,366.98 and 1,980.94 is: 2,971.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,911.50 : 10,366.98 = 1,980.94 : x
  2. Step 2: Convert to fraction form
    6,911.50/10,366.98 = 1,980.94/x
  3. Step 3: Cross multiply
    6,911.50x = 10,366.98 × 1,980.94
  4. Step 4: Simplify right side
    6,911.50x = 20,536,365.36
  5. Step 5: Solve for x
    x = 20,536,365.36/6,911.50
  6. Step 6: Final answer
    x = 2,971.33

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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.