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Finding the Fourth Proportional to 6,629.34, 9,148.50 and 3,645.38

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Solution

The fourth proportional to 6,629.34, 9,148.50 and 3,645.38 is: 5,030.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,629.34 : 9,148.50 = 3,645.38 : x
  2. Step 2: Convert to fraction form
    6,629.34/9,148.50 = 3,645.38/x
  3. Step 3: Cross multiply
    6,629.34x = 9,148.50 × 3,645.38
  4. Step 4: Simplify right side
    6,629.34x = 33,349,768.13
  5. Step 5: Solve for x
    x = 33,349,768.13/6,629.34
  6. Step 6: Final answer
    x = 5,030.63

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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.