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Finding the Fourth Proportional to 27,197.66, 40,796.94 and 7,476.10

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Solution

The fourth proportional to 27,197.66, 40,796.94 and 7,476.10 is: 11,214.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,197.66 : 40,796.94 = 7,476.10 : x
  2. Step 2: Convert to fraction form
    27,197.66/40,796.94 = 7,476.10/x
  3. Step 3: Cross multiply
    27,197.66x = 40,796.94 × 7,476.10
  4. Step 4: Simplify right side
    27,197.66x = 305,002,003.13
  5. Step 5: Solve for x
    x = 305,002,003.13/27,197.66
  6. Step 6: Final answer
    x = 11,214.27

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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.