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Finding the Fourth Proportional to 6,924.50, 9,555.84 and 3,780.70

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Solution

The fourth proportional to 6,924.50, 9,555.84 and 3,780.70 is: 5,217.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,924.50 : 9,555.84 = 3,780.70 : x
  2. Step 2: Convert to fraction form
    6,924.50/9,555.84 = 3,780.70/x
  3. Step 3: Cross multiply
    6,924.50x = 9,555.84 × 3,780.70
  4. Step 4: Simplify right side
    6,924.50x = 36,127,764.29
  5. Step 5: Solve for x
    x = 36,127,764.29/6,924.50
  6. Step 6: Final answer
    x = 5,217.38

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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.