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Finding the Fourth Proportional to 6,894.09, 10,331.82 and 4,941.99

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Solution

The fourth proportional to 6,894.09, 10,331.82 and 4,941.99 is: 7,406.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,894.09 : 10,331.82 = 4,941.99 : x
  2. Step 2: Convert to fraction form
    6,894.09/10,331.82 = 4,941.99/x
  3. Step 3: Cross multiply
    6,894.09x = 10,331.82 × 4,941.99
  4. Step 4: Simplify right side
    6,894.09x = 51,059,751.12
  5. Step 5: Solve for x
    x = 51,059,751.12/6,894.09
  6. Step 6: Final answer
    x = 7,406.31

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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.