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Finding the Fourth Proportional to 25,694.67, 38,542.80 and 6,974.63

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Solution

The fourth proportional to 25,694.67, 38,542.80 and 6,974.63 is: 10,462.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,694.67 : 38,542.80 = 6,974.63 : x
  2. Step 2: Convert to fraction form
    25,694.67/38,542.80 = 6,974.63/x
  3. Step 3: Cross multiply
    25,694.67x = 38,542.80 × 6,974.63
  4. Step 4: Simplify right side
    25,694.67x = 268,821,576.45
  5. Step 5: Solve for x
    x = 268,821,576.45/25,694.67
  6. Step 6: Final answer
    x = 10,462.15

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1.5x scale

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.