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Finding the Fourth Proportional to 6,576.42, 9,869.40 and 2,625.42

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Solution

The fourth proportional to 6,576.42, 9,869.40 and 2,625.42 is: 3,940.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,576.42 : 9,869.40 = 2,625.42 : x
  2. Step 2: Convert to fraction form
    6,576.42/9,869.40 = 2,625.42/x
  3. Step 3: Cross multiply
    6,576.42x = 9,869.40 × 2,625.42
  4. Step 4: Simplify right side
    6,576.42x = 25,911,320.15
  5. Step 5: Solve for x
    x = 25,911,320.15/6,576.42
  6. Step 6: Final answer
    x = 3,940.03

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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.