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Finding the Fourth Proportional to 27,886.15, 41,829.22 and 7,109.65

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Solution

The fourth proportional to 27,886.15, 41,829.22 and 7,109.65 is: 10,664.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,886.15 : 41,829.22 = 7,109.65 : x
  2. Step 2: Convert to fraction form
    27,886.15/41,829.22 = 7,109.65/x
  3. Step 3: Cross multiply
    27,886.15x = 41,829.22 × 7,109.65
  4. Step 4: Simplify right side
    27,886.15x = 297,391,067.50
  5. Step 5: Solve for x
    x = 297,391,067.50/27,886.15
  6. Step 6: Final answer
    x = 10,664.47

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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.