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Finding the Fourth Proportional to 7,750.98, 11,624.72 and 2,204.19

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Solution

The fourth proportional to 7,750.98, 11,624.72 and 2,204.19 is: 3,305.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,750.98 : 11,624.72 = 2,204.19 : x
  2. Step 2: Convert to fraction form
    7,750.98/11,624.72 = 2,204.19/x
  3. Step 3: Cross multiply
    7,750.98x = 11,624.72 × 2,204.19
  4. Step 4: Simplify right side
    7,750.98x = 25,623,080.56
  5. Step 5: Solve for x
    x = 25,623,080.56/7,750.98
  6. Step 6: Final answer
    x = 3,305.79

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1.5x scale

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.