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Finding the Fourth Proportional to 6,530.63, 9,012.26 and 3,736.13

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Solution

The fourth proportional to 6,530.63, 9,012.26 and 3,736.13 is: 5,155.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,530.63 : 9,012.26 = 3,736.13 : x
  2. Step 2: Convert to fraction form
    6,530.63/9,012.26 = 3,736.13/x
  3. Step 3: Cross multiply
    6,530.63x = 9,012.26 × 3,736.13
  4. Step 4: Simplify right side
    6,530.63x = 33,670,939.23
  5. Step 5: Solve for x
    x = 33,670,939.23/6,530.63
  6. Step 6: Final answer
    x = 5,155.85

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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.