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Finding the Fourth Proportional to 6,821.77, 10,232.65 and 1,891.41

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Solution

The fourth proportional to 6,821.77, 10,232.65 and 1,891.41 is: 2,837.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.77 : 10,232.65 = 1,891.41 : x
  2. Step 2: Convert to fraction form
    6,821.77/10,232.65 = 1,891.41/x
  3. Step 3: Cross multiply
    6,821.77x = 10,232.65 × 1,891.41
  4. Step 4: Simplify right side
    6,821.77x = 19,354,136.54
  5. Step 5: Solve for x
    x = 19,354,136.54/6,821.77
  6. Step 6: Final answer
    x = 2,837.11

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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.