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Finding the Fourth Proportional to 7,634.80, 10,537 and 4,491.28

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Solution

The fourth proportional to 7,634.80, 10,537 and 4,491.28 is: 6,198.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.80 : 10,537 = 4,491.28 : x
  2. Step 2: Convert to fraction form
    7,634.80/10,537 = 4,491.28/x
  3. Step 3: Cross multiply
    7,634.80x = 10,537 × 4,491.28
  4. Step 4: Simplify right side
    7,634.80x = 47,324,617.36
  5. Step 5: Solve for x
    x = 47,324,617.36/7,634.80
  6. Step 6: Final answer
    x = 6,198.54

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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.