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Finding the Fourth Proportional to 27,801.10, 41,703.66 and 7,813.54

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Solution

The fourth proportional to 27,801.10, 41,703.66 and 7,813.54 is: 11,720.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,801.10 : 41,703.66 = 7,813.54 : x
  2. Step 2: Convert to fraction form
    27,801.10/41,703.66 = 7,813.54/x
  3. Step 3: Cross multiply
    27,801.10x = 41,703.66 × 7,813.54
  4. Step 4: Simplify right side
    27,801.10x = 325,853,215.56
  5. Step 5: Solve for x
    x = 325,853,215.56/27,801.10
  6. Step 6: Final answer
    x = 11,720.87

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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.