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Finding the Fourth Proportional to 6,941.01, 10,401.19 and 4,164.43

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Solution

The fourth proportional to 6,941.01, 10,401.19 and 4,164.43 is: 6,240.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,941.01 : 10,401.19 = 4,164.43 : x
  2. Step 2: Convert to fraction form
    6,941.01/10,401.19 = 4,164.43/x
  3. Step 3: Cross multiply
    6,941.01x = 10,401.19 × 4,164.43
  4. Step 4: Simplify right side
    6,941.01x = 43,315,027.67
  5. Step 5: Solve for x
    x = 43,315,027.67/6,941.01
  6. Step 6: Final answer
    x = 6,240.45

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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.