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Finding the Fourth Proportional to 11,674.84, 17,512.50 and 6,513.56

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Solution

The fourth proportional to 11,674.84, 17,512.50 and 6,513.56 is: 9,770.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.84 : 17,512.50 = 6,513.56 : x
  2. Step 2: Convert to fraction form
    11,674.84/17,512.50 = 6,513.56/x
  3. Step 3: Cross multiply
    11,674.84x = 17,512.50 × 6,513.56
  4. Step 4: Simplify right side
    11,674.84x = 114,068,719.50
  5. Step 5: Solve for x
    x = 114,068,719.50/11,674.84
  6. Step 6: Final answer
    x = 9,770.47

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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.