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Finding the Fourth Proportional to 4,172, 6,258 and 1,094

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Solution

The fourth proportional to 4,172, 6,258 and 1,094 is: 1,641

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,172 : 6,258 = 1,094 : x
  2. Step 2: Convert to fraction form
    4,172/6,258 = 1,094/x
  3. Step 3: Cross multiply
    4,172x = 6,258 × 1,094
  4. Step 4: Simplify right side
    4,172x = 6,846,252
  5. Step 5: Solve for x
    x = 6,846,252/4,172
  6. Step 6: Final answer
    x = 1,641

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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.