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Finding the Fourth Proportional to 27,838.85, 41,758.41 and 8,117.51

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Solution

The fourth proportional to 27,838.85, 41,758.41 and 8,117.51 is: 12,176.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,838.85 : 41,758.41 = 8,117.51 : x
  2. Step 2: Convert to fraction form
    27,838.85/41,758.41 = 8,117.51/x
  3. Step 3: Cross multiply
    27,838.85x = 41,758.41 × 8,117.51
  4. Step 4: Simplify right side
    27,838.85x = 338,974,310.76
  5. Step 5: Solve for x
    x = 338,974,310.76/27,838.85
  6. Step 6: Final answer
    x = 12,176.30

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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.