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Finding the Fourth Proportional to 16,678.68, 25,008.77 and 6,824.90

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Solution

The fourth proportional to 16,678.68, 25,008.77 and 6,824.90 is: 10,233.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,678.68 : 25,008.77 = 6,824.90 : x
  2. Step 2: Convert to fraction form
    16,678.68/25,008.77 = 6,824.90/x
  3. Step 3: Cross multiply
    16,678.68x = 25,008.77 × 6,824.90
  4. Step 4: Simplify right side
    16,678.68x = 170,682,195.20
  5. Step 5: Solve for x
    x = 170,682,195.20/16,678.68
  6. Step 6: Final answer
    x = 10,233.56

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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.