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Finding the Fourth Proportional to 16,225, 22,393.74 and 9,151.54

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Solution

The fourth proportional to 16,225, 22,393.74 and 9,151.54 is: 12,630.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,225 : 22,393.74 = 9,151.54 : x
  2. Step 2: Convert to fraction form
    16,225/22,393.74 = 9,151.54/x
  3. Step 3: Cross multiply
    16,225x = 22,393.74 × 9,151.54
  4. Step 4: Simplify right side
    16,225x = 204,937,207.36
  5. Step 5: Solve for x
    x = 204,937,207.36/16,225
  6. Step 6: Final answer
    x = 12,630.95

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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.