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Finding the Fourth Proportional to 16,495.75, 24,743.63 and 7,261.75

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Solution

The fourth proportional to 16,495.75, 24,743.63 and 7,261.75 is: 10,892.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,495.75 : 24,743.63 = 7,261.75 : x
  2. Step 2: Convert to fraction form
    16,495.75/24,743.63 = 7,261.75/x
  3. Step 3: Cross multiply
    16,495.75x = 24,743.63 × 7,261.75
  4. Step 4: Simplify right side
    16,495.75x = 179,682,055.15
  5. Step 5: Solve for x
    x = 179,682,055.15/16,495.75
  6. Step 6: Final answer
    x = 10,892.63

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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.