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Finding the Fourth Proportional to 11,596.90, 17,384.55 and 8,086.90

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Solution

The fourth proportional to 11,596.90, 17,384.55 and 8,086.90 is: 12,122.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,596.90 : 17,384.55 = 8,086.90 : x
  2. Step 2: Convert to fraction form
    11,596.90/17,384.55 = 8,086.90/x
  3. Step 3: Cross multiply
    11,596.90x = 17,384.55 × 8,086.90
  4. Step 4: Simplify right side
    11,596.90x = 140,587,117.40
  5. Step 5: Solve for x
    x = 140,587,117.40/11,596.90
  6. Step 6: Final answer
    x = 12,122.82

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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.