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Finding the Fourth Proportional to 27,886.16, 41,826.18 and 8,164.92

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Solution

The fourth proportional to 27,886.16, 41,826.18 and 8,164.92 is: 12,246.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,886.16 : 41,826.18 = 8,164.92 : x
  2. Step 2: Convert to fraction form
    27,886.16/41,826.18 = 8,164.92/x
  3. Step 3: Cross multiply
    27,886.16x = 41,826.18 × 8,164.92
  4. Step 4: Simplify right side
    27,886.16x = 341,507,413.61
  5. Step 5: Solve for x
    x = 341,507,413.61/27,886.16
  6. Step 6: Final answer
    x = 12,246.48

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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.