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Finding the Fourth Proportional to 16,702.25, 23,049.09 and 9,149.05

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Solution

The fourth proportional to 16,702.25, 23,049.09 and 9,149.05 is: 12,625.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,702.25 : 23,049.09 = 9,149.05 : x
  2. Step 2: Convert to fraction form
    16,702.25/23,049.09 = 9,149.05/x
  3. Step 3: Cross multiply
    16,702.25x = 23,049.09 × 9,149.05
  4. Step 4: Simplify right side
    16,702.25x = 210,877,253.55
  5. Step 5: Solve for x
    x = 210,877,253.55/16,702.25
  6. Step 6: Final answer
    x = 12,625.68

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.