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Finding the Fourth Proportional to 27,214.74, 40,822.11 and 7,493.49

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Solution

The fourth proportional to 27,214.74, 40,822.11 and 7,493.49 is: 11,240.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,214.74 : 40,822.11 = 7,493.49 : x
  2. Step 2: Convert to fraction form
    27,214.74/40,822.11 = 7,493.49/x
  3. Step 3: Cross multiply
    27,214.74x = 40,822.11 × 7,493.49
  4. Step 4: Simplify right side
    27,214.74x = 305,900,073.06
  5. Step 5: Solve for x
    x = 305,900,073.06/27,214.74
  6. Step 6: Final answer
    x = 11,240.24

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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.