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Finding the Fourth Proportional to 16,617.75, 22,934.12 and 9,165.75

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Solution

The fourth proportional to 16,617.75, 22,934.12 and 9,165.75 is: 12,649.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,617.75 : 22,934.12 = 9,165.75 : x
  2. Step 2: Convert to fraction form
    16,617.75/22,934.12 = 9,165.75/x
  3. Step 3: Cross multiply
    16,617.75x = 22,934.12 × 9,165.75
  4. Step 4: Simplify right side
    16,617.75x = 210,208,364.56
  5. Step 5: Solve for x
    x = 210,208,364.56/16,617.75
  6. Step 6: Final answer
    x = 12,649.63

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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.