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Finding the Fourth Proportional to 6,616, 9,130.24 and 3,632

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Solution

The fourth proportional to 6,616, 9,130.24 and 3,632 is: 5,012.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,616 : 9,130.24 = 3,632 : x
  2. Step 2: Convert to fraction form
    6,616/9,130.24 = 3,632/x
  3. Step 3: Cross multiply
    6,616x = 9,130.24 × 3,632
  4. Step 4: Simplify right side
    6,616x = 33,161,031.68
  5. Step 5: Solve for x
    x = 33,161,031.68/6,616
  6. Step 6: Final answer
    x = 5,012.25

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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.