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Finding the Fourth Proportional to 7,178.64, 10,770.12 and 2,562

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Solution

The fourth proportional to 7,178.64, 10,770.12 and 2,562 is: 3,843.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,178.64 : 10,770.12 = 2,562 : x
  2. Step 2: Convert to fraction form
    7,178.64/10,770.12 = 2,562/x
  3. Step 3: Cross multiply
    7,178.64x = 10,770.12 × 2,562
  4. Step 4: Simplify right side
    7,178.64x = 27,593,047.44
  5. Step 5: Solve for x
    x = 27,593,047.44/7,178.64
  6. Step 6: Final answer
    x = 3,843.77

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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.