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Finding the Fourth Proportional to 16,494.75, 24,742.13 and 7,260.75

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Solution

The fourth proportional to 16,494.75, 24,742.13 and 7,260.75 is: 10,891.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,494.75 : 24,742.13 = 7,260.75 : x
  2. Step 2: Convert to fraction form
    16,494.75/24,742.13 = 7,260.75/x
  3. Step 3: Cross multiply
    16,494.75x = 24,742.13 × 7,260.75
  4. Step 4: Simplify right side
    16,494.75x = 179,646,384.09
  5. Step 5: Solve for x
    x = 179,646,384.09/16,494.75
  6. Step 6: Final answer
    x = 10,891.13

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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.