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Finding the Fourth Proportional to 17,116, 25,674 and 6,172

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Solution

The fourth proportional to 17,116, 25,674 and 6,172 is: 9,258

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,116 : 25,674 = 6,172 : x
  2. Step 2: Convert to fraction form
    17,116/25,674 = 6,172/x
  3. Step 3: Cross multiply
    17,116x = 25,674 × 6,172
  4. Step 4: Simplify right side
    17,116x = 158,459,928
  5. Step 5: Solve for x
    x = 158,459,928/17,116
  6. Step 6: Final answer
    x = 9,258

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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.