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Finding the Fourth Proportional to 25,849.23, 38,765.62 and 8,314.98

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Solution

The fourth proportional to 25,849.23, 38,765.62 and 8,314.98 is: 12,469.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,849.23 : 38,765.62 = 8,314.98 : x
  2. Step 2: Convert to fraction form
    25,849.23/38,765.62 = 8,314.98/x
  3. Step 3: Cross multiply
    25,849.23x = 38,765.62 × 8,314.98
  4. Step 4: Simplify right side
    25,849.23x = 322,335,354.99
  5. Step 5: Solve for x
    x = 322,335,354.99/25,849.23
  6. Step 6: Final answer
    x = 12,469.82

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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.