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Finding the Fourth Proportional to 9,041, 13,566.62 and 4,177

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Solution

The fourth proportional to 9,041, 13,566.62 and 4,177 is: 6,267.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,041 : 13,566.62 = 4,177 : x
  2. Step 2: Convert to fraction form
    9,041/13,566.62 = 4,177/x
  3. Step 3: Cross multiply
    9,041x = 13,566.62 × 4,177
  4. Step 4: Simplify right side
    9,041x = 56,667,771.74
  5. Step 5: Solve for x
    x = 56,667,771.74/9,041
  6. Step 6: Final answer
    x = 6,267.87

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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.