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Finding the Fourth Proportional to 7,823.73, 10,797.05 and 4,467.09

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Solution

The fourth proportional to 7,823.73, 10,797.05 and 4,467.09 is: 6,164.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,823.73 : 10,797.05 = 4,467.09 : x
  2. Step 2: Convert to fraction form
    7,823.73/10,797.05 = 4,467.09/x
  3. Step 3: Cross multiply
    7,823.73x = 10,797.05 × 4,467.09
  4. Step 4: Simplify right side
    7,823.73x = 48,231,394.08
  5. Step 5: Solve for x
    x = 48,231,394.08/7,823.73
  6. Step 6: Final answer
    x = 6,164.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.