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Finding the Fourth Proportional to 11,855.94, 16,348.95 and 10,182.90

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Solution

The fourth proportional to 11,855.94, 16,348.95 and 10,182.90 is: 14,041.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,855.94 : 16,348.95 = 10,182.90 : x
  2. Step 2: Convert to fraction form
    11,855.94/16,348.95 = 10,182.90/x
  3. Step 3: Cross multiply
    11,855.94x = 16,348.95 × 10,182.90
  4. Step 4: Simplify right side
    11,855.94x = 166,479,722.96
  5. Step 5: Solve for x
    x = 166,479,722.96/11,855.94
  6. Step 6: Final answer
    x = 14,041.88

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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.