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Finding the Fourth Proportional to 23,245, 34,872.97 and 7,662.63

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Solution

The fourth proportional to 23,245, 34,872.97 and 7,662.63 is: 11,495.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,245 : 34,872.97 = 7,662.63 : x
  2. Step 2: Convert to fraction form
    23,245/34,872.97 = 7,662.63/x
  3. Step 3: Cross multiply
    23,245x = 34,872.97 × 7,662.63
  4. Step 4: Simplify right side
    23,245x = 267,218,666.11
  5. Step 5: Solve for x
    x = 267,218,666.11/23,245
  6. Step 6: Final answer
    x = 11,495.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.