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Finding the Fourth Proportional to 6,559.34, 9,839.97 and 2,175.80

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Solution

The fourth proportional to 6,559.34, 9,839.97 and 2,175.80 is: 3,264.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,559.34 : 9,839.97 = 2,175.80 : x
  2. Step 2: Convert to fraction form
    6,559.34/9,839.97 = 2,175.80/x
  3. Step 3: Cross multiply
    6,559.34x = 9,839.97 × 2,175.80
  4. Step 4: Simplify right side
    6,559.34x = 21,409,757.53
  5. Step 5: Solve for x
    x = 21,409,757.53/6,559.34
  6. Step 6: Final answer
    x = 3,264.01

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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.