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Finding the Fourth Proportional to 25,977.72, 38,970.36 and 8,202.36

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Solution

The fourth proportional to 25,977.72, 38,970.36 and 8,202.36 is: 12,304.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,977.72 : 38,970.36 = 8,202.36 : x
  2. Step 2: Convert to fraction form
    25,977.72/38,970.36 = 8,202.36/x
  3. Step 3: Cross multiply
    25,977.72x = 38,970.36 × 8,202.36
  4. Step 4: Simplify right side
    25,977.72x = 319,648,922.05
  5. Step 5: Solve for x
    x = 319,648,922.05/25,977.72
  6. Step 6: Final answer
    x = 12,304.73

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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.