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Finding the Fourth Proportional to 11,685, 16,125.66 and 6,717

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Solution

The fourth proportional to 11,685, 16,125.66 and 6,717 is: 9,269.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,685 : 16,125.66 = 6,717 : x
  2. Step 2: Convert to fraction form
    11,685/16,125.66 = 6,717/x
  3. Step 3: Cross multiply
    11,685x = 16,125.66 × 6,717
  4. Step 4: Simplify right side
    11,685x = 108,316,058.22
  5. Step 5: Solve for x
    x = 108,316,058.22/11,685
  6. Step 6: Final answer
    x = 9,269.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.