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Finding the Fourth Proportional to 27,586.26, 41,385.84 and 7,865.10

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Solution

The fourth proportional to 27,586.26, 41,385.84 and 7,865.10 is: 11,799.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,586.26 : 41,385.84 = 7,865.10 : x
  2. Step 2: Convert to fraction form
    27,586.26/41,385.84 = 7,865.10/x
  3. Step 3: Cross multiply
    27,586.26x = 41,385.84 × 7,865.10
  4. Step 4: Simplify right side
    27,586.26x = 325,503,770.18
  5. Step 5: Solve for x
    x = 325,503,770.18/27,586.26
  6. Step 6: Final answer
    x = 11,799.49

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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.