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Finding the Fourth Proportional to 13,027.33, 17,977.73 and 7,058.99

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Solution

The fourth proportional to 13,027.33, 17,977.73 and 7,058.99 is: 9,741.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,027.33 : 17,977.73 = 7,058.99 : x
  2. Step 2: Convert to fraction form
    13,027.33/17,977.73 = 7,058.99/x
  3. Step 3: Cross multiply
    13,027.33x = 17,977.73 × 7,058.99
  4. Step 4: Simplify right side
    13,027.33x = 126,904,625.94
  5. Step 5: Solve for x
    x = 126,904,625.94/13,027.33
  6. Step 6: Final answer
    x = 9,741.42

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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.