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Finding the Fourth Proportional to 6,835.50, 9,429.21 and 4,593.42

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Solution

The fourth proportional to 6,835.50, 9,429.21 and 4,593.42 is: 6,336.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,835.50 : 9,429.21 = 4,593.42 : x
  2. Step 2: Convert to fraction form
    6,835.50/9,429.21 = 4,593.42/x
  3. Step 3: Cross multiply
    6,835.50x = 9,429.21 × 4,593.42
  4. Step 4: Simplify right side
    6,835.50x = 43,312,321.80
  5. Step 5: Solve for x
    x = 43,312,321.80/6,835.50
  6. Step 6: Final answer
    x = 6,336.38

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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.