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Finding the Fourth Proportional to 11,473, 15,834.34 and 6,505

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Solution

The fourth proportional to 11,473, 15,834.34 and 6,505 is: 8,977.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,473 : 15,834.34 = 6,505 : x
  2. Step 2: Convert to fraction form
    11,473/15,834.34 = 6,505/x
  3. Step 3: Cross multiply
    11,473x = 15,834.34 × 6,505
  4. Step 4: Simplify right side
    11,473x = 103,002,381.70
  5. Step 5: Solve for x
    x = 103,002,381.70/11,473
  6. Step 6: Final answer
    x = 8,977.81

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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.