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Finding the Fourth Proportional to 11,097, 15,313.86 and 6,129

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Solution

The fourth proportional to 11,097, 15,313.86 and 6,129 is: 8,458.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,097 : 15,313.86 = 6,129 : x
  2. Step 2: Convert to fraction form
    11,097/15,313.86 = 6,129/x
  3. Step 3: Cross multiply
    11,097x = 15,313.86 × 6,129
  4. Step 4: Simplify right side
    11,097x = 93,858,647.94
  5. Step 5: Solve for x
    x = 93,858,647.94/11,097
  6. Step 6: Final answer
    x = 8,458.02

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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.