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Finding the Fourth Proportional to 10,159.82, 14,047.79 and 8,914.44

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Solution

The fourth proportional to 10,159.82, 14,047.79 and 8,914.44 is: 12,325.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,159.82 : 14,047.79 = 8,914.44 : x
  2. Step 2: Convert to fraction form
    10,159.82/14,047.79 = 8,914.44/x
  3. Step 3: Cross multiply
    10,159.82x = 14,047.79 × 8,914.44
  4. Step 4: Simplify right side
    10,159.82x = 125,228,181.09
  5. Step 5: Solve for x
    x = 125,228,181.09/10,159.82
  6. Step 6: Final answer
    x = 12,325.83

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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.