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Finding the Fourth Proportional to 7,757.88, 10,705.98 and 4,221.24

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Solution

The fourth proportional to 7,757.88, 10,705.98 and 4,221.24 is: 5,825.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.88 : 10,705.98 = 4,221.24 : x
  2. Step 2: Convert to fraction form
    7,757.88/10,705.98 = 4,221.24/x
  3. Step 3: Cross multiply
    7,757.88x = 10,705.98 × 4,221.24
  4. Step 4: Simplify right side
    7,757.88x = 45,192,511.02
  5. Step 5: Solve for x
    x = 45,192,511.02/7,757.88
  6. Step 6: Final answer
    x = 5,825.37

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1.5x scale

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.