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Finding the Fourth Proportional to 5,462.98, 8,195.22 and 1,763.98

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Solution

The fourth proportional to 5,462.98, 8,195.22 and 1,763.98 is: 2,646.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,462.98 : 8,195.22 = 1,763.98 : x
  2. Step 2: Convert to fraction form
    5,462.98/8,195.22 = 1,763.98/x
  3. Step 3: Cross multiply
    5,462.98x = 8,195.22 × 1,763.98
  4. Step 4: Simplify right side
    5,462.98x = 14,456,204.18
  5. Step 5: Solve for x
    x = 14,456,204.18/5,462.98
  6. Step 6: Final answer
    x = 2,646.21

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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.