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Finding the Fourth Proportional to 25,696.97, 38,548.01 and 6,977.30

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Solution

The fourth proportional to 25,696.97, 38,548.01 and 6,977.30 is: 10,466.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,696.97 : 38,548.01 = 6,977.30 : x
  2. Step 2: Convert to fraction form
    25,696.97/38,548.01 = 6,977.30/x
  3. Step 3: Cross multiply
    25,696.97x = 38,548.01 × 6,977.30
  4. Step 4: Simplify right side
    25,696.97x = 268,961,143.99
  5. Step 5: Solve for x
    x = 268,961,143.99/25,696.97
  6. Step 6: Final answer
    x = 10,466.65

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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.