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Finding the Fourth Proportional to 11,806.90, 17,702.15 and 5,229.50

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Solution

The fourth proportional to 11,806.90, 17,702.15 and 5,229.50 is: 7,840.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.90 : 17,702.15 = 5,229.50 : x
  2. Step 2: Convert to fraction form
    11,806.90/17,702.15 = 5,229.50/x
  3. Step 3: Cross multiply
    11,806.90x = 17,702.15 × 5,229.50
  4. Step 4: Simplify right side
    11,806.90x = 92,573,278.77
  5. Step 5: Solve for x
    x = 92,573,278.77/11,806.90
  6. Step 6: Final answer
    x = 7,840.61

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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.