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Finding the Fourth Proportional to 6,193.04, 9,322.82 and 5,558

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Solution

The fourth proportional to 6,193.04, 9,322.82 and 5,558 is: 8,366.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.04 : 9,322.82 = 5,558 : x
  2. Step 2: Convert to fraction form
    6,193.04/9,322.82 = 5,558/x
  3. Step 3: Cross multiply
    6,193.04x = 9,322.82 × 5,558
  4. Step 4: Simplify right side
    6,193.04x = 51,816,233.56
  5. Step 5: Solve for x
    x = 51,816,233.56/6,193.04
  6. Step 6: Final answer
    x = 8,366.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.