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Finding the Fourth Proportional to 25,768.82, 38,658.03 and 8,243.06

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Solution

The fourth proportional to 25,768.82, 38,658.03 and 8,243.06 is: 12,366.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,768.82 : 38,658.03 = 8,243.06 : x
  2. Step 2: Convert to fraction form
    25,768.82/38,658.03 = 8,243.06/x
  3. Step 3: Cross multiply
    25,768.82x = 38,658.03 × 8,243.06
  4. Step 4: Simplify right side
    25,768.82x = 318,660,460.77
  5. Step 5: Solve for x
    x = 318,660,460.77/25,768.82
  6. Step 6: Final answer
    x = 12,366.13

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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.