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Finding the Fourth Proportional to 6,048, 9,071.64 and 2,152.44

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Solution

The fourth proportional to 6,048, 9,071.64 and 2,152.44 is: 3,228.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,048 : 9,071.64 = 2,152.44 : x
  2. Step 2: Convert to fraction form
    6,048/9,071.64 = 2,152.44/x
  3. Step 3: Cross multiply
    6,048x = 9,071.64 × 2,152.44
  4. Step 4: Simplify right side
    6,048x = 19,526,160.80
  5. Step 5: Solve for x
    x = 19,526,160.80/6,048
  6. Step 6: Final answer
    x = 3,228.53

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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.