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Finding the Fourth Proportional to 6,909.22, 10,363.83 and 3,011.50

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Solution

The fourth proportional to 6,909.22, 10,363.83 and 3,011.50 is: 4,517.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,909.22 : 10,363.83 = 3,011.50 : x
  2. Step 2: Convert to fraction form
    6,909.22/10,363.83 = 3,011.50/x
  3. Step 3: Cross multiply
    6,909.22x = 10,363.83 × 3,011.50
  4. Step 4: Simplify right side
    6,909.22x = 31,210,674.05
  5. Step 5: Solve for x
    x = 31,210,674.05/6,909.22
  6. Step 6: Final answer
    x = 4,517.25

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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.