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Finding the Fourth Proportional to 25,784.01, 38,676.93 and 8,251.56

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Solution

The fourth proportional to 25,784.01, 38,676.93 and 8,251.56 is: 12,377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,784.01 : 38,676.93 = 8,251.56 : x
  2. Step 2: Convert to fraction form
    25,784.01/38,676.93 = 8,251.56/x
  3. Step 3: Cross multiply
    25,784.01x = 38,676.93 × 8,251.56
  4. Step 4: Simplify right side
    25,784.01x = 319,145,105.20
  5. Step 5: Solve for x
    x = 319,145,105.20/25,784.01
  6. Step 6: Final answer
    x = 12,377.64

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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.