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Finding the Fourth Proportional to 25,997.67, 38,967.95 and 10,197.95

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Solution

The fourth proportional to 25,997.67, 38,967.95 and 10,197.95 is: 15,285.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,997.67 : 38,967.95 = 10,197.95 : x
  2. Step 2: Convert to fraction form
    25,997.67/38,967.95 = 10,197.95/x
  3. Step 3: Cross multiply
    25,997.67x = 38,967.95 × 10,197.95
  4. Step 4: Simplify right side
    25,997.67x = 397,393,036.36
  5. Step 5: Solve for x
    x = 397,393,036.36/25,997.67
  6. Step 6: Final answer
    x = 15,285.72

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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.