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Finding the Fourth Proportional to 6,823.94, 10,236.11 and 1,893.94

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Solution

The fourth proportional to 6,823.94, 10,236.11 and 1,893.94 is: 2,840.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.94 : 10,236.11 = 1,893.94 : x
  2. Step 2: Convert to fraction form
    6,823.94/10,236.11 = 1,893.94/x
  3. Step 3: Cross multiply
    6,823.94x = 10,236.11 × 1,893.94
  4. Step 4: Simplify right side
    6,823.94x = 19,386,543.11
  5. Step 5: Solve for x
    x = 19,386,543.11/6,823.94
  6. Step 6: Final answer
    x = 2,840.96

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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.