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Finding the Fourth Proportional to 16,563.63, 22,858.41 and 9,491.42

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Solution

The fourth proportional to 16,563.63, 22,858.41 and 9,491.42 is: 13,098.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,563.63 : 22,858.41 = 9,491.42 : x
  2. Step 2: Convert to fraction form
    16,563.63/22,858.41 = 9,491.42/x
  3. Step 3: Cross multiply
    16,563.63x = 22,858.41 × 9,491.42
  4. Step 4: Simplify right side
    16,563.63x = 216,958,680.61
  5. Step 5: Solve for x
    x = 216,958,680.61/16,563.63
  6. Step 6: Final answer
    x = 13,098.50

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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.