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Finding the Fourth Proportional to 16,622, 22,936.56 and 9,549.44

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Solution

The fourth proportional to 16,622, 22,936.56 and 9,549.44 is: 13,177.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,622 : 22,936.56 = 9,549.44 : x
  2. Step 2: Convert to fraction form
    16,622/22,936.56 = 9,549.44/x
  3. Step 3: Cross multiply
    16,622x = 22,936.56 × 9,549.44
  4. Step 4: Simplify right side
    16,622x = 219,031,303.53
  5. Step 5: Solve for x
    x = 219,031,303.53/16,622
  6. Step 6: Final answer
    x = 13,177.19

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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.