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Finding the Fourth Proportional to 16,299.36, 22,494 and 9,226.08

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Solution

The fourth proportional to 16,299.36, 22,494 and 9,226.08 is: 12,732.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,299.36 : 22,494 = 9,226.08 : x
  2. Step 2: Convert to fraction form
    16,299.36/22,494 = 9,226.08/x
  3. Step 3: Cross multiply
    16,299.36x = 22,494 × 9,226.08
  4. Step 4: Simplify right side
    16,299.36x = 207,531,443.52
  5. Step 5: Solve for x
    x = 207,531,443.52/16,299.36
  6. Step 6: Final answer
    x = 12,732.49

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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.