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Finding the Fourth Proportional to 16,814.90, 25,233.15 and 9,794.90

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Solution

The fourth proportional to 16,814.90, 25,233.15 and 9,794.90 is: 14,698.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,814.90 : 25,233.15 = 9,794.90 : x
  2. Step 2: Convert to fraction form
    16,814.90/25,233.15 = 9,794.90/x
  3. Step 3: Cross multiply
    16,814.90x = 25,233.15 × 9,794.90
  4. Step 4: Simplify right side
    16,814.90x = 247,156,180.94
  5. Step 5: Solve for x
    x = 247,156,180.94/16,814.90
  6. Step 6: Final answer
    x = 14,698.64

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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.