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Finding the Fourth Proportional to 27,596.45, 41,393.79 and 7,874.84

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Solution

The fourth proportional to 27,596.45, 41,393.79 and 7,874.84 is: 11,812.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,596.45 : 41,393.79 = 7,874.84 : x
  2. Step 2: Convert to fraction form
    27,596.45/41,393.79 = 7,874.84/x
  3. Step 3: Cross multiply
    27,596.45x = 41,393.79 × 7,874.84
  4. Step 4: Simplify right side
    27,596.45x = 325,969,266.27
  5. Step 5: Solve for x
    x = 325,969,266.27/27,596.45
  6. Step 6: Final answer
    x = 11,812.00

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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.