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Finding the Fourth Proportional to 9,793.88, 14,665.80 and 5,406.44

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Solution

The fourth proportional to 9,793.88, 14,665.80 and 5,406.44 is: 8,095.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,793.88 : 14,665.80 = 5,406.44 : x
  2. Step 2: Convert to fraction form
    9,793.88/14,665.80 = 5,406.44/x
  3. Step 3: Cross multiply
    9,793.88x = 14,665.80 × 5,406.44
  4. Step 4: Simplify right side
    9,793.88x = 79,289,767.75
  5. Step 5: Solve for x
    x = 79,289,767.75/9,793.88
  6. Step 6: Final answer
    x = 8,095.85

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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.