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Finding the Fourth Proportional to 27,183.68, 40,770.72 and 7,457.48

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Solution

The fourth proportional to 27,183.68, 40,770.72 and 7,457.48 is: 11,184.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,183.68 : 40,770.72 = 7,457.48 : x
  2. Step 2: Convert to fraction form
    27,183.68/40,770.72 = 7,457.48/x
  3. Step 3: Cross multiply
    27,183.68x = 40,770.72 × 7,457.48
  4. Step 4: Simplify right side
    27,183.68x = 304,046,625.13
  5. Step 5: Solve for x
    x = 304,046,625.13/27,183.68
  6. Step 6: Final answer
    x = 11,184.90

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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.