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Finding the Fourth Proportional to 6,666.50, 9,200.59 and 3,834.54

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Solution

The fourth proportional to 6,666.50, 9,200.59 and 3,834.54 is: 5,292.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,666.50 : 9,200.59 = 3,834.54 : x
  2. Step 2: Convert to fraction form
    6,666.50/9,200.59 = 3,834.54/x
  3. Step 3: Cross multiply
    6,666.50x = 9,200.59 × 3,834.54
  4. Step 4: Simplify right side
    6,666.50x = 35,280,020.79
  5. Step 5: Solve for x
    x = 35,280,020.79/6,666.50
  6. Step 6: Final answer
    x = 5,292.13

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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.