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Finding the Fourth Proportional to 11,163.54, 16,828.28 and 9,616.24

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Solution

The fourth proportional to 11,163.54, 16,828.28 and 9,616.24 is: 14,495.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,163.54 : 16,828.28 = 9,616.24 : x
  2. Step 2: Convert to fraction form
    11,163.54/16,828.28 = 9,616.24/x
  3. Step 3: Cross multiply
    11,163.54x = 16,828.28 × 9,616.24
  4. Step 4: Simplify right side
    11,163.54x = 161,824,779.27
  5. Step 5: Solve for x
    x = 161,824,779.27/11,163.54
  6. Step 6: Final answer
    x = 14,495.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.