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Finding the Fourth Proportional to 8,463, 12,694.55 and 2,307

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Solution

The fourth proportional to 8,463, 12,694.55 and 2,307 is: 3,460.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463 : 12,694.55 = 2,307 : x
  2. Step 2: Convert to fraction form
    8,463/12,694.55 = 2,307/x
  3. Step 3: Cross multiply
    8,463x = 12,694.55 × 2,307
  4. Step 4: Simplify right side
    8,463x = 29,286,315.32
  5. Step 5: Solve for x
    x = 29,286,315.32/8,463
  6. Step 6: Final answer
    x = 3,460.51

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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.