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Finding the Fourth Proportional to 27,907.10, 41,866.05 and 8,186.30

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Solution

The fourth proportional to 27,907.10, 41,866.05 and 8,186.30 is: 12,281.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,907.10 : 41,866.05 = 8,186.30 : x
  2. Step 2: Convert to fraction form
    27,907.10/41,866.05 = 8,186.30/x
  3. Step 3: Cross multiply
    27,907.10x = 41,866.05 × 8,186.30
  4. Step 4: Simplify right side
    27,907.10x = 342,728,045.12
  5. Step 5: Solve for x
    x = 342,728,045.12/27,907.10
  6. Step 6: Final answer
    x = 12,281.03

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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.