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Finding the Fourth Proportional to 27,107.80, 40,656.96 and 7,383.76

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Solution

The fourth proportional to 27,107.80, 40,656.96 and 7,383.76 is: 11,074.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,107.80 : 40,656.96 = 7,383.76 : x
  2. Step 2: Convert to fraction form
    27,107.80/40,656.96 = 7,383.76/x
  3. Step 3: Cross multiply
    27,107.80x = 40,656.96 × 7,383.76
  4. Step 4: Simplify right side
    27,107.80x = 300,201,234.97
  5. Step 5: Solve for x
    x = 300,201,234.97/27,107.80
  6. Step 6: Final answer
    x = 11,074.35

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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.