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Finding the Fourth Proportional to 27,920.42, 41,885.76 and 9,201.56

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Solution

The fourth proportional to 27,920.42, 41,885.76 and 9,201.56 is: 13,804.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,920.42 : 41,885.76 = 9,201.56 : x
  2. Step 2: Convert to fraction form
    27,920.42/41,885.76 = 9,201.56/x
  3. Step 3: Cross multiply
    27,920.42x = 41,885.76 × 9,201.56
  4. Step 4: Simplify right side
    27,920.42x = 385,414,333.79
  5. Step 5: Solve for x
    x = 385,414,333.79/27,920.42
  6. Step 6: Final answer
    x = 13,804.03

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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.