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Finding the Fourth Proportional to 6,334.47, 9,506.23 and 3,049.38

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Solution

The fourth proportional to 6,334.47, 9,506.23 and 3,049.38 is: 4,576.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,334.47 : 9,506.23 = 3,049.38 : x
  2. Step 2: Convert to fraction form
    6,334.47/9,506.23 = 3,049.38/x
  3. Step 3: Cross multiply
    6,334.47x = 9,506.23 × 3,049.38
  4. Step 4: Simplify right side
    6,334.47x = 28,988,100.01
  5. Step 5: Solve for x
    x = 28,988,100.01/6,334.47
  6. Step 6: Final answer
    x = 4,576.25

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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.