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Finding the Fourth Proportional to 5,562, 7,675.74 and 3,203.82

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Solution

The fourth proportional to 5,562, 7,675.74 and 3,203.82 is: 4,421.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,562 : 7,675.74 = 3,203.82 : x
  2. Step 2: Convert to fraction form
    5,562/7,675.74 = 3,203.82/x
  3. Step 3: Cross multiply
    5,562x = 7,675.74 × 3,203.82
  4. Step 4: Simplify right side
    5,562x = 24,591,689.33
  5. Step 5: Solve for x
    x = 24,591,689.33/5,562
  6. Step 6: Final answer
    x = 4,421.38

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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.