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Finding the Fourth Proportional to 27,823.44, 41,735.24 and 7,046.92

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Solution

The fourth proportional to 27,823.44, 41,735.24 and 7,046.92 is: 10,570.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,823.44 : 41,735.24 = 7,046.92 : x
  2. Step 2: Convert to fraction form
    27,823.44/41,735.24 = 7,046.92/x
  3. Step 3: Cross multiply
    27,823.44x = 41,735.24 × 7,046.92
  4. Step 4: Simplify right side
    27,823.44x = 294,104,897.46
  5. Step 5: Solve for x
    x = 294,104,897.46/27,823.44
  6. Step 6: Final answer
    x = 10,570.40

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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.