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Finding the Fourth Proportional to 27,410, 37,791.40 and 22,369.12

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Solution

The fourth proportional to 27,410, 37,791.40 and 22,369.12 is: 30,841.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,410 : 37,791.40 = 22,369.12 : x
  2. Step 2: Convert to fraction form
    27,410/37,791.40 = 22,369.12/x
  3. Step 3: Cross multiply
    27,410x = 37,791.40 × 22,369.12
  4. Step 4: Simplify right side
    27,410x = 845,360,361.57
  5. Step 5: Solve for x
    x = 845,360,361.57/27,410
  6. Step 6: Final answer
    x = 30,841.31

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.