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Finding the Fourth Proportional to 8,048, 12,071.46 and 2,204.66

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Solution

The fourth proportional to 8,048, 12,071.46 and 2,204.66 is: 3,306.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,048 : 12,071.46 = 2,204.66 : x
  2. Step 2: Convert to fraction form
    8,048/12,071.46 = 2,204.66/x
  3. Step 3: Cross multiply
    8,048x = 12,071.46 × 2,204.66
  4. Step 4: Simplify right side
    8,048x = 26,613,465.00
  5. Step 5: Solve for x
    x = 26,613,465.00/8,048
  6. Step 6: Final answer
    x = 3,306.84

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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.