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Finding the Fourth Proportional to 27,897.66, 41,843.40 and 8,176.44

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Solution

The fourth proportional to 27,897.66, 41,843.40 and 8,176.44 is: 12,263.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,897.66 : 41,843.40 = 8,176.44 : x
  2. Step 2: Convert to fraction form
    27,897.66/41,843.40 = 8,176.44/x
  3. Step 3: Cross multiply
    27,897.66x = 41,843.40 × 8,176.44
  4. Step 4: Simplify right side
    27,897.66x = 342,130,049.50
  5. Step 5: Solve for x
    x = 342,130,049.50/27,897.66
  6. Step 6: Final answer
    x = 12,263.75

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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.