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Finding the Fourth Proportional to 27,770.73, 41,673.00 and 9,999.90

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Solution

The fourth proportional to 27,770.73, 41,673.00 and 9,999.90 is: 15,005.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,770.73 : 41,673.00 = 9,999.90 : x
  2. Step 2: Convert to fraction form
    27,770.73/41,673.00 = 9,999.90/x
  3. Step 3: Cross multiply
    27,770.73x = 41,673.00 × 9,999.90
  4. Step 4: Simplify right side
    27,770.73x = 416,725,713.93
  5. Step 5: Solve for x
    x = 416,725,713.93/27,770.73
  6. Step 6: Final answer
    x = 15,005.94

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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.