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Finding the Fourth Proportional to 25,853.67, 38,786.94 and 7,385.67

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Solution

The fourth proportional to 25,853.67, 38,786.94 and 7,385.67 is: 11,080.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,853.67 : 38,786.94 = 7,385.67 : x
  2. Step 2: Convert to fraction form
    25,853.67/38,786.94 = 7,385.67/x
  3. Step 3: Cross multiply
    25,853.67x = 38,786.94 × 7,385.67
  4. Step 4: Simplify right side
    25,853.67x = 286,467,539.15
  5. Step 5: Solve for x
    x = 286,467,539.15/25,853.67
  6. Step 6: Final answer
    x = 11,080.34

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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.