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Finding the Fourth Proportional to 6,226.50, 9,336.45 and 1,843.35

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Solution

The fourth proportional to 6,226.50, 9,336.45 and 1,843.35 is: 2,764.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,226.50 : 9,336.45 = 1,843.35 : x
  2. Step 2: Convert to fraction form
    6,226.50/9,336.45 = 1,843.35/x
  3. Step 3: Cross multiply
    6,226.50x = 9,336.45 × 1,843.35
  4. Step 4: Simplify right side
    6,226.50x = 17,210,345.11
  5. Step 5: Solve for x
    x = 17,210,345.11/6,226.50
  6. Step 6: Final answer
    x = 2,764.05

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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.