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Finding the Fourth Proportional to 6,626.47, 9,144.69 and 3,642.38

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Solution

The fourth proportional to 6,626.47, 9,144.69 and 3,642.38 is: 5,026.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626.47 : 9,144.69 = 3,642.38 : x
  2. Step 2: Convert to fraction form
    6,626.47/9,144.69 = 3,642.38/x
  3. Step 3: Cross multiply
    6,626.47x = 9,144.69 × 3,642.38
  4. Step 4: Simplify right side
    6,626.47x = 33,308,390.24
  5. Step 5: Solve for x
    x = 33,308,390.24/6,626.47
  6. Step 6: Final answer
    x = 5,026.57

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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.