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Finding the Fourth Proportional to 10,176, 14,042.11 and 6,196.67

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Solution

The fourth proportional to 10,176, 14,042.11 and 6,196.67 is: 8,550.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,176 : 14,042.11 = 6,196.67 : x
  2. Step 2: Convert to fraction form
    10,176/14,042.11 = 6,196.67/x
  3. Step 3: Cross multiply
    10,176x = 14,042.11 × 6,196.67
  4. Step 4: Simplify right side
    10,176x = 87,014,321.77
  5. Step 5: Solve for x
    x = 87,014,321.77/10,176
  6. Step 6: Final answer
    x = 8,550.94

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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.