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Finding the Fourth Proportional to 16,106, 22,226.32 and 9,396.24

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Solution

The fourth proportional to 16,106, 22,226.32 and 9,396.24 is: 12,966.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,106 : 22,226.32 = 9,396.24 : x
  2. Step 2: Convert to fraction form
    16,106/22,226.32 = 9,396.24/x
  3. Step 3: Cross multiply
    16,106x = 22,226.32 × 9,396.24
  4. Step 4: Simplify right side
    16,106x = 208,843,837.04
  5. Step 5: Solve for x
    x = 208,843,837.04/16,106
  6. Step 6: Final answer
    x = 12,966.83

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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.