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Finding the Fourth Proportional to 11,726.75, 16,182.92 and 6,758.75

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Solution

The fourth proportional to 11,726.75, 16,182.92 and 6,758.75 is: 9,327.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,726.75 : 16,182.92 = 6,758.75 : x
  2. Step 2: Convert to fraction form
    11,726.75/16,182.92 = 6,758.75/x
  3. Step 3: Cross multiply
    11,726.75x = 16,182.92 × 6,758.75
  4. Step 4: Simplify right side
    11,726.75x = 109,376,310.55
  5. Step 5: Solve for x
    x = 109,376,310.55/11,726.75
  6. Step 6: Final answer
    x = 9,327.08

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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.