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Finding the Fourth Proportional to 16,809, 23,197.86 and 9,358.44

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Solution

The fourth proportional to 16,809, 23,197.86 and 9,358.44 is: 12,915.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,809 : 23,197.86 = 9,358.44 : x
  2. Step 2: Convert to fraction form
    16,809/23,197.86 = 9,358.44/x
  3. Step 3: Cross multiply
    16,809x = 23,197.86 × 9,358.44
  4. Step 4: Simplify right side
    16,809x = 217,095,780.94
  5. Step 5: Solve for x
    x = 217,095,780.94/16,809
  6. Step 6: Final answer
    x = 12,915.45

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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.