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Finding the Fourth Proportional to 4,065, 6,093.88 and 1,467.36

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Solution

The fourth proportional to 4,065, 6,093.88 and 1,467.36 is: 2,199.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,065 : 6,093.88 = 1,467.36 : x
  2. Step 2: Convert to fraction form
    4,065/6,093.88 = 1,467.36/x
  3. Step 3: Cross multiply
    4,065x = 6,093.88 × 1,467.36
  4. Step 4: Simplify right side
    4,065x = 8,941,915.76
  5. Step 5: Solve for x
    x = 8,941,915.76/4,065
  6. Step 6: Final answer
    x = 2,199.73

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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.