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Finding the Fourth Proportional to 12,793.86, 19,177.83 and 6,214.50

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Solution

The fourth proportional to 12,793.86, 19,177.83 and 6,214.50 is: 9,315.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,793.86 : 19,177.83 = 6,214.50 : x
  2. Step 2: Convert to fraction form
    12,793.86/19,177.83 = 6,214.50/x
  3. Step 3: Cross multiply
    12,793.86x = 19,177.83 × 6,214.50
  4. Step 4: Simplify right side
    12,793.86x = 119,180,624.54
  5. Step 5: Solve for x
    x = 119,180,624.54/12,793.86
  6. Step 6: Final answer
    x = 9,315.45

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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.