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Finding the Fourth Proportional to 16,226.57, 22,392.67 and 9,153

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Solution

The fourth proportional to 16,226.57, 22,392.67 and 9,153 is: 12,631.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,226.57 : 22,392.67 = 9,153 : x
  2. Step 2: Convert to fraction form
    16,226.57/22,392.67 = 9,153/x
  3. Step 3: Cross multiply
    16,226.57x = 22,392.67 × 9,153
  4. Step 4: Simplify right side
    16,226.57x = 204,960,108.51
  5. Step 5: Solve for x
    x = 204,960,108.51/16,226.57
  6. Step 6: Final answer
    x = 12,631.14

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Double scale
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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.