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Finding the Fourth Proportional to 27,600, 41,406.12 and 10,069.77

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Solution

The fourth proportional to 27,600, 41,406.12 and 10,069.77 is: 15,106.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,600 : 41,406.12 = 10,069.77 : x
  2. Step 2: Convert to fraction form
    27,600/41,406.12 = 10,069.77/x
  3. Step 3: Cross multiply
    27,600x = 41,406.12 × 10,069.77
  4. Step 4: Simplify right side
    27,600x = 416,950,104.99
  5. Step 5: Solve for x
    x = 416,950,104.99/27,600
  6. Step 6: Final answer
    x = 15,106.89

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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.