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Finding the Fourth Proportional to 4,553.70, 6,834.60 and 3,897.60

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Solution

The fourth proportional to 4,553.70, 6,834.60 and 3,897.60 is: 5,849.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,553.70 : 6,834.60 = 3,897.60 : x
  2. Step 2: Convert to fraction form
    4,553.70/6,834.60 = 3,897.60/x
  3. Step 3: Cross multiply
    4,553.70x = 6,834.60 × 3,897.60
  4. Step 4: Simplify right side
    4,553.70x = 26,638,536.96
  5. Step 5: Solve for x
    x = 26,638,536.96/4,553.70
  6. Step 6: Final answer
    x = 5,849.87

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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.