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Finding the Fourth Proportional to 16,462, 22,717.72 and 9,010.16

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Solution

The fourth proportional to 16,462, 22,717.72 and 9,010.16 is: 12,434.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,462 : 22,717.72 = 9,010.16 : x
  2. Step 2: Convert to fraction form
    16,462/22,717.72 = 9,010.16/x
  3. Step 3: Cross multiply
    16,462x = 22,717.72 × 9,010.16
  4. Step 4: Simplify right side
    16,462x = 204,690,292.04
  5. Step 5: Solve for x
    x = 204,690,292.04/16,462
  6. Step 6: Final answer
    x = 12,434.11

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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.