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Finding the Fourth Proportional to 6,530.54, 9,012.14 and 3,736.04

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Solution

The fourth proportional to 6,530.54, 9,012.14 and 3,736.04 is: 5,155.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.54 : 9,012.14 = 3,736.04 : x
  2. Step 2: Convert to fraction form
    6,530.54/9,012.14 = 3,736.04/x
  3. Step 3: Cross multiply
    6,530.54x = 9,012.14 × 3,736.04
  4. Step 4: Simplify right side
    6,530.54x = 33,669,651.78
  5. Step 5: Solve for x
    x = 33,669,651.78/6,530.54
  6. Step 6: Final answer
    x = 5,155.73

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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.