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Finding the Fourth Proportional to 27,862.31, 41,793.31 and 6,802.46

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Solution

The fourth proportional to 27,862.31, 41,793.31 and 6,802.46 is: 10,203.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,862.31 : 41,793.31 = 6,802.46 : x
  2. Step 2: Convert to fraction form
    27,862.31/41,793.31 = 6,802.46/x
  3. Step 3: Cross multiply
    27,862.31x = 41,793.31 × 6,802.46
  4. Step 4: Simplify right side
    27,862.31x = 284,297,076.56
  5. Step 5: Solve for x
    x = 284,297,076.56/27,862.31
  6. Step 6: Final answer
    x = 10,203.65

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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.