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Finding the Fourth Proportional to 11,638.95, 16,058.94 and 6,859.09

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Solution

The fourth proportional to 11,638.95, 16,058.94 and 6,859.09 is: 9,463.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,638.95 : 16,058.94 = 6,859.09 : x
  2. Step 2: Convert to fraction form
    11,638.95/16,058.94 = 6,859.09/x
  3. Step 3: Cross multiply
    11,638.95x = 16,058.94 × 6,859.09
  4. Step 4: Simplify right side
    11,638.95x = 110,149,674.62
  5. Step 5: Solve for x
    x = 110,149,674.62/11,638.95
  6. Step 6: Final answer
    x = 9,463.88

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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.