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Finding the Fourth Proportional to 6,101, 9,146.06 and 2,204.54

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Solution

The fourth proportional to 6,101, 9,146.06 and 2,204.54 is: 3,304.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101 : 9,146.06 = 2,204.54 : x
  2. Step 2: Convert to fraction form
    6,101/9,146.06 = 2,204.54/x
  3. Step 3: Cross multiply
    6,101x = 9,146.06 × 2,204.54
  4. Step 4: Simplify right side
    6,101x = 20,162,855.11
  5. Step 5: Solve for x
    x = 20,162,855.11/6,101
  6. Step 6: Final answer
    x = 3,304.84

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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.