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Finding the Fourth Proportional to 11,789.70, 17,658.42 and 6,847.08

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Solution

The fourth proportional to 11,789.70, 17,658.42 and 6,847.08 is: 10,255.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,789.70 : 17,658.42 = 6,847.08 : x
  2. Step 2: Convert to fraction form
    11,789.70/17,658.42 = 6,847.08/x
  3. Step 3: Cross multiply
    11,789.70x = 17,658.42 × 6,847.08
  4. Step 4: Simplify right side
    11,789.70x = 120,908,614.41
  5. Step 5: Solve for x
    x = 120,908,614.41/11,789.70
  6. Step 6: Final answer
    x = 10,255.44

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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.