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Finding the Fourth Proportional to 27,205.80, 40,776.30 and 11,410.80

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Solution

The fourth proportional to 27,205.80, 40,776.30 and 11,410.80 is: 17,102.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,205.80 : 40,776.30 = 11,410.80 : x
  2. Step 2: Convert to fraction form
    27,205.80/40,776.30 = 11,410.80/x
  3. Step 3: Cross multiply
    27,205.80x = 40,776.30 × 11,410.80
  4. Step 4: Simplify right side
    27,205.80x = 465,290,204.04
  5. Step 5: Solve for x
    x = 465,290,204.04/27,205.80
  6. Step 6: Final answer
    x = 17,102.61

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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.