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Finding the Fourth Proportional to 4,749.62, 7,121.82 and 1,461.80

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Solution

The fourth proportional to 4,749.62, 7,121.82 and 1,461.80 is: 2,191.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,749.62 : 7,121.82 = 1,461.80 : x
  2. Step 2: Convert to fraction form
    4,749.62/7,121.82 = 1,461.80/x
  3. Step 3: Cross multiply
    4,749.62x = 7,121.82 × 1,461.80
  4. Step 4: Simplify right side
    4,749.62x = 10,410,676.48
  5. Step 5: Solve for x
    x = 10,410,676.48/4,749.62
  6. Step 6: Final answer
    x = 2,191.90

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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.