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Finding the Fourth Proportional to 17,277, 25,916.94 and 4,965

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Solution

The fourth proportional to 17,277, 25,916.94 and 4,965 is: 7,447.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,277 : 25,916.94 = 4,965 : x
  2. Step 2: Convert to fraction form
    17,277/25,916.94 = 4,965/x
  3. Step 3: Cross multiply
    17,277x = 25,916.94 × 4,965
  4. Step 4: Simplify right side
    17,277x = 128,677,607.10
  5. Step 5: Solve for x
    x = 128,677,607.10/17,277
  6. Step 6: Final answer
    x = 7,447.91

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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.