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Finding the Fourth Proportional to 11,671.84, 17,508 and 6,510.56

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Solution

The fourth proportional to 11,671.84, 17,508 and 6,510.56 is: 9,765.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.84 : 17,508 = 6,510.56 : x
  2. Step 2: Convert to fraction form
    11,671.84/17,508 = 6,510.56/x
  3. Step 3: Cross multiply
    11,671.84x = 17,508 × 6,510.56
  4. Step 4: Simplify right side
    11,671.84x = 113,986,884.48
  5. Step 5: Solve for x
    x = 113,986,884.48/11,671.84
  6. Step 6: Final answer
    x = 9,765.97

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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.