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Finding the Fourth Proportional to 9,015, 13,516.83 and 3,468.66

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Solution

The fourth proportional to 9,015, 13,516.83 and 3,468.66 is: 5,200.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,015 : 13,516.83 = 3,468.66 : x
  2. Step 2: Convert to fraction form
    9,015/13,516.83 = 3,468.66/x
  3. Step 3: Cross multiply
    9,015x = 13,516.83 × 3,468.66
  4. Step 4: Simplify right side
    9,015x = 46,885,287.55
  5. Step 5: Solve for x
    x = 46,885,287.55/9,015
  6. Step 6: Final answer
    x = 5,200.81

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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.