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Finding the Fourth Proportional to 6,629, 9,148.02 and 3,834.50

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Solution

The fourth proportional to 6,629, 9,148.02 and 3,834.50 is: 5,291.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,629 : 9,148.02 = 3,834.50 : x
  2. Step 2: Convert to fraction form
    6,629/9,148.02 = 3,834.50/x
  3. Step 3: Cross multiply
    6,629x = 9,148.02 × 3,834.50
  4. Step 4: Simplify right side
    6,629x = 35,078,082.69
  5. Step 5: Solve for x
    x = 35,078,082.69/6,629
  6. Step 6: Final answer
    x = 5,291.61

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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.