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Finding the Fourth Proportional to 9,110.28, 13,665.36 and 2,536.50

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Solution

The fourth proportional to 9,110.28, 13,665.36 and 2,536.50 is: 3,804.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,110.28 : 13,665.36 = 2,536.50 : x
  2. Step 2: Convert to fraction form
    9,110.28/13,665.36 = 2,536.50/x
  3. Step 3: Cross multiply
    9,110.28x = 13,665.36 × 2,536.50
  4. Step 4: Simplify right side
    9,110.28x = 34,662,185.64
  5. Step 5: Solve for x
    x = 34,662,185.64/9,110.28
  6. Step 6: Final answer
    x = 3,804.73

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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.