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Finding the Fourth Proportional to 5,562.62, 7,676.42 and 3,204.76

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Solution

The fourth proportional to 5,562.62, 7,676.42 and 3,204.76 is: 4,422.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,562.62 : 7,676.42 = 3,204.76 : x
  2. Step 2: Convert to fraction form
    5,562.62/7,676.42 = 3,204.76/x
  3. Step 3: Cross multiply
    5,562.62x = 7,676.42 × 3,204.76
  4. Step 4: Simplify right side
    5,562.62x = 24,601,083.76
  5. Step 5: Solve for x
    x = 24,601,083.76/5,562.62
  6. Step 6: Final answer
    x = 4,422.57

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Half scale
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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.