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Finding the Fourth Proportional to 16,772.80, 25,162.98 and 5,678.86

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Solution

The fourth proportional to 16,772.80, 25,162.98 and 5,678.86 is: 8,519.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,772.80 : 25,162.98 = 5,678.86 : x
  2. Step 2: Convert to fraction form
    16,772.80/25,162.98 = 5,678.86/x
  3. Step 3: Cross multiply
    16,772.80x = 25,162.98 × 5,678.86
  4. Step 4: Simplify right side
    16,772.80x = 142,897,040.60
  5. Step 5: Solve for x
    x = 142,897,040.60/16,772.80
  6. Step 6: Final answer
    x = 8,519.57

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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.