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Finding the Fourth Proportional to 6,593.40, 9,898.20 and 3,634.20

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Solution

The fourth proportional to 6,593.40, 9,898.20 and 3,634.20 is: 5,455.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,593.40 : 9,898.20 = 3,634.20 : x
  2. Step 2: Convert to fraction form
    6,593.40/9,898.20 = 3,634.20/x
  3. Step 3: Cross multiply
    6,593.40x = 9,898.20 × 3,634.20
  4. Step 4: Simplify right side
    6,593.40x = 35,972,038.44
  5. Step 5: Solve for x
    x = 35,972,038.44/6,593.40
  6. Step 6: Final answer
    x = 5,455.76

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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.