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Finding the Fourth Proportional to 12,058.14, 16,640.37 and 6,753

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Solution

The fourth proportional to 12,058.14, 16,640.37 and 6,753 is: 9,319.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,058.14 : 16,640.37 = 6,753 : x
  2. Step 2: Convert to fraction form
    12,058.14/16,640.37 = 6,753/x
  3. Step 3: Cross multiply
    12,058.14x = 16,640.37 × 6,753
  4. Step 4: Simplify right side
    12,058.14x = 112,372,418.61
  5. Step 5: Solve for x
    x = 112,372,418.61/12,058.14
  6. Step 6: Final answer
    x = 9,319.22

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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.