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Finding the Fourth Proportional to 4,786.98, 7,165.09 and 2,560.24

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Solution

The fourth proportional to 4,786.98, 7,165.09 and 2,560.24 is: 3,832.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,786.98 : 7,165.09 = 2,560.24 : x
  2. Step 2: Convert to fraction form
    4,786.98/7,165.09 = 2,560.24/x
  3. Step 3: Cross multiply
    4,786.98x = 7,165.09 × 2,560.24
  4. Step 4: Simplify right side
    4,786.98x = 18,344,350.02
  5. Step 5: Solve for x
    x = 18,344,350.02/4,786.98
  6. Step 6: Final answer
    x = 3,832.13

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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.