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Finding the Fourth Proportional to 27,905.62, 41,858.77 and 8,184.58

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Solution

The fourth proportional to 27,905.62, 41,858.77 and 8,184.58 is: 12,276.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,905.62 : 41,858.77 = 8,184.58 : x
  2. Step 2: Convert to fraction form
    27,905.62/41,858.77 = 8,184.58/x
  3. Step 3: Cross multiply
    27,905.62x = 41,858.77 × 8,184.58
  4. Step 4: Simplify right side
    27,905.62x = 342,596,451.77
  5. Step 5: Solve for x
    x = 342,596,451.77/27,905.62
  6. Step 6: Final answer
    x = 12,276.97

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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.