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Finding the Fourth Proportional to 16,654, 22,983.98 and 9,203.44

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Solution

The fourth proportional to 16,654, 22,983.98 and 9,203.44 is: 12,701.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,654 : 22,983.98 = 9,203.44 : x
  2. Step 2: Convert to fraction form
    16,654/22,983.98 = 9,203.44/x
  3. Step 3: Cross multiply
    16,654x = 22,983.98 × 9,203.44
  4. Step 4: Simplify right side
    16,654x = 211,531,680.89
  5. Step 5: Solve for x
    x = 211,531,680.89/16,654
  6. Step 6: Final answer
    x = 12,701.55

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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.