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Finding the Fourth Proportional to 25,497.97, 38,246.94 and 7,967.79

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Solution

The fourth proportional to 25,497.97, 38,246.94 and 7,967.79 is: 11,951.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,497.97 : 38,246.94 = 7,967.79 : x
  2. Step 2: Convert to fraction form
    25,497.97/38,246.94 = 7,967.79/x
  3. Step 3: Cross multiply
    25,497.97x = 38,246.94 × 7,967.79
  4. Step 4: Simplify right side
    25,497.97x = 304,743,739.45
  5. Step 5: Solve for x
    x = 304,743,739.45/25,497.97
  6. Step 6: Final answer
    x = 11,951.69

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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.