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Finding the Fourth Proportional to 10,873.82, 16,285.97 and 6,482.20

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Solution

The fourth proportional to 10,873.82, 16,285.97 and 6,482.20 is: 9,708.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,873.82 : 16,285.97 = 6,482.20 : x
  2. Step 2: Convert to fraction form
    10,873.82/16,285.97 = 6,482.20/x
  3. Step 3: Cross multiply
    10,873.82x = 16,285.97 × 6,482.20
  4. Step 4: Simplify right side
    10,873.82x = 105,568,914.73
  5. Step 5: Solve for x
    x = 105,568,914.73/10,873.82
  6. Step 6: Final answer
    x = 9,708.54

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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.