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Finding the Fourth Proportional to 27,803.70, 41,709.60 and 9,084.60

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Solution

The fourth proportional to 27,803.70, 41,709.60 and 9,084.60 is: 13,628.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,803.70 : 41,709.60 = 9,084.60 : x
  2. Step 2: Convert to fraction form
    27,803.70/41,709.60 = 9,084.60/x
  3. Step 3: Cross multiply
    27,803.70x = 41,709.60 × 9,084.60
  4. Step 4: Simplify right side
    27,803.70x = 378,915,032.16
  5. Step 5: Solve for x
    x = 378,915,032.16/27,803.70
  6. Step 6: Final answer
    x = 13,628.22

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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.