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Finding the Fourth Proportional to 12,532.82, 18,791.93 and 4,742.24

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Solution

The fourth proportional to 12,532.82, 18,791.93 and 4,742.24 is: 7,110.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,532.82 : 18,791.93 = 4,742.24 : x
  2. Step 2: Convert to fraction form
    12,532.82/18,791.93 = 4,742.24/x
  3. Step 3: Cross multiply
    12,532.82x = 18,791.93 × 4,742.24
  4. Step 4: Simplify right side
    12,532.82x = 89,115,724.45
  5. Step 5: Solve for x
    x = 89,115,724.45/12,532.82
  6. Step 6: Final answer
    x = 7,110.59

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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.