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Finding the Fourth Proportional to 4,381, 6,571.50 and 4,270.84

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Solution

The fourth proportional to 4,381, 6,571.50 and 4,270.84 is: 6,406.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,381 : 6,571.50 = 4,270.84 : x
  2. Step 2: Convert to fraction form
    4,381/6,571.50 = 4,270.84/x
  3. Step 3: Cross multiply
    4,381x = 6,571.50 × 4,270.84
  4. Step 4: Simplify right side
    4,381x = 28,065,825.06
  5. Step 5: Solve for x
    x = 28,065,825.06/4,381
  6. Step 6: Final answer
    x = 6,406.26

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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.