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Finding the Fourth Proportional to 27,905.19, 41,858.11 and 8,184.14

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Solution

The fourth proportional to 27,905.19, 41,858.11 and 8,184.14 is: 12,276.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,905.19 : 41,858.11 = 8,184.14 : x
  2. Step 2: Convert to fraction form
    27,905.19/41,858.11 = 8,184.14/x
  3. Step 3: Cross multiply
    27,905.19x = 41,858.11 × 8,184.14
  4. Step 4: Simplify right side
    27,905.19x = 342,572,590.28
  5. Step 5: Solve for x
    x = 342,572,590.28/27,905.19
  6. Step 6: Final answer
    x = 12,276.31

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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.