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Finding the Fourth Proportional to 25,901.75, 38,857.04 and 8,129.00

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Solution

The fourth proportional to 25,901.75, 38,857.04 and 8,129.00 is: 12,194.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,901.75 : 38,857.04 = 8,129.00 : x
  2. Step 2: Convert to fraction form
    25,901.75/38,857.04 = 8,129.00/x
  3. Step 3: Cross multiply
    25,901.75x = 38,857.04 × 8,129.00
  4. Step 4: Simplify right side
    25,901.75x = 315,868,643.23
  5. Step 5: Solve for x
    x = 315,868,643.23/25,901.75
  6. Step 6: Final answer
    x = 12,194.88

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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.