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Finding the Fourth Proportional to 16,653, 22,982.60 and 9,202.44

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Solution

The fourth proportional to 16,653, 22,982.60 and 9,202.44 is: 12,700.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,653 : 22,982.60 = 9,202.44 : x
  2. Step 2: Convert to fraction form
    16,653/22,982.60 = 9,202.44/x
  3. Step 3: Cross multiply
    16,653x = 22,982.60 × 9,202.44
  4. Step 4: Simplify right side
    16,653x = 211,495,997.54
  5. Step 5: Solve for x
    x = 211,495,997.54/16,653
  6. Step 6: Final answer
    x = 12,700.17

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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.