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Finding the Fourth Proportional to 6,193.42, 9,292.50 and 3,730

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Solution

The fourth proportional to 6,193.42, 9,292.50 and 3,730 is: 5,596.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.42 : 9,292.50 = 3,730 : x
  2. Step 2: Convert to fraction form
    6,193.42/9,292.50 = 3,730/x
  3. Step 3: Cross multiply
    6,193.42x = 9,292.50 × 3,730
  4. Step 4: Simplify right side
    6,193.42x = 34,661,025
  5. Step 5: Solve for x
    x = 34,661,025/6,193.42
  6. Step 6: Final answer
    x = 5,596.43

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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.