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Finding the Fourth Proportional to 7,949.34, 10,958.76 and 6,264

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Solution

The fourth proportional to 7,949.34, 10,958.76 and 6,264 is: 8,635.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,949.34 : 10,958.76 = 6,264 : x
  2. Step 2: Convert to fraction form
    7,949.34/10,958.76 = 6,264/x
  3. Step 3: Cross multiply
    7,949.34x = 10,958.76 × 6,264
  4. Step 4: Simplify right side
    7,949.34x = 68,645,672.64
  5. Step 5: Solve for x
    x = 68,645,672.64/7,949.34
  6. Step 6: Final answer
    x = 8,635.39

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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.