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Finding the Fourth Proportional to 27,219.69, 40,822.25 and 7,493.56

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Solution

The fourth proportional to 27,219.69, 40,822.25 and 7,493.56 is: 11,238.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,219.69 : 40,822.25 = 7,493.56 : x
  2. Step 2: Convert to fraction form
    27,219.69/40,822.25 = 7,493.56/x
  3. Step 3: Cross multiply
    27,219.69x = 40,822.25 × 7,493.56
  4. Step 4: Simplify right side
    27,219.69x = 305,903,840.19
  5. Step 5: Solve for x
    x = 305,903,840.19/27,219.69
  6. Step 6: Final answer
    x = 11,238.33

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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.