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Finding the Fourth Proportional to 6,168.87, 9,253.35 and 1,786.32

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Solution

The fourth proportional to 6,168.87, 9,253.35 and 1,786.32 is: 2,679.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,168.87 : 9,253.35 = 1,786.32 : x
  2. Step 2: Convert to fraction form
    6,168.87/9,253.35 = 1,786.32/x
  3. Step 3: Cross multiply
    6,168.87x = 9,253.35 × 1,786.32
  4. Step 4: Simplify right side
    6,168.87x = 16,529,444.17
  5. Step 5: Solve for x
    x = 16,529,444.17/6,168.87
  6. Step 6: Final answer
    x = 2,679.49

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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.