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Finding the Fourth Proportional to 6,571.22, 9,065.38 and 4,446

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Solution

The fourth proportional to 6,571.22, 9,065.38 and 4,446 is: 6,133.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,571.22 : 9,065.38 = 4,446 : x
  2. Step 2: Convert to fraction form
    6,571.22/9,065.38 = 4,446/x
  3. Step 3: Cross multiply
    6,571.22x = 9,065.38 × 4,446
  4. Step 4: Simplify right side
    6,571.22x = 40,304,679.48
  5. Step 5: Solve for x
    x = 40,304,679.48/6,571.22
  6. Step 6: Final answer
    x = 6,133.52

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.