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Finding the Fourth Proportional to 27,642.94, 41,464.41 and 9,174.94

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Solution

The fourth proportional to 27,642.94, 41,464.41 and 9,174.94 is: 13,762.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,642.94 : 41,464.41 = 9,174.94 : x
  2. Step 2: Convert to fraction form
    27,642.94/41,464.41 = 9,174.94/x
  3. Step 3: Cross multiply
    27,642.94x = 41,464.41 × 9,174.94
  4. Step 4: Simplify right side
    27,642.94x = 380,433,335.82
  5. Step 5: Solve for x
    x = 380,433,335.82/27,642.94
  6. Step 6: Final answer
    x = 13,762.41

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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.