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Finding the Fourth Proportional to 11,650.46, 17,461.09 and 9,175.50

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Solution

The fourth proportional to 11,650.46, 17,461.09 and 9,175.50 is: 13,751.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,650.46 : 17,461.09 = 9,175.50 : x
  2. Step 2: Convert to fraction form
    11,650.46/17,461.09 = 9,175.50/x
  3. Step 3: Cross multiply
    11,650.46x = 17,461.09 × 9,175.50
  4. Step 4: Simplify right side
    11,650.46x = 160,214,242.76
  5. Step 5: Solve for x
    x = 160,214,242.76/11,650.46
  6. Step 6: Final answer
    x = 13,751.76

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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.