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Finding the Fourth Proportional to 6,823.84, 10,236.49 and 1,893.50

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Solution

The fourth proportional to 6,823.84, 10,236.49 and 1,893.50 is: 2,840.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.84 : 10,236.49 = 1,893.50 : x
  2. Step 2: Convert to fraction form
    6,823.84/10,236.49 = 1,893.50/x
  3. Step 3: Cross multiply
    6,823.84x = 10,236.49 × 1,893.50
  4. Step 4: Simplify right side
    6,823.84x = 19,382,737.90
  5. Step 5: Solve for x
    x = 19,382,737.90/6,823.84
  6. Step 6: Final answer
    x = 2,840.45

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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.