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Finding the Fourth Proportional to 6,857.58, 10,286.34 and 1,927.19

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Solution

The fourth proportional to 6,857.58, 10,286.34 and 1,927.19 is: 2,890.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,857.58 : 10,286.34 = 1,927.19 : x
  2. Step 2: Convert to fraction form
    6,857.58/10,286.34 = 1,927.19/x
  3. Step 3: Cross multiply
    6,857.58x = 10,286.34 × 1,927.19
  4. Step 4: Simplify right side
    6,857.58x = 19,823,750.07
  5. Step 5: Solve for x
    x = 19,823,750.07/6,857.58
  6. Step 6: Final answer
    x = 2,890.78

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.