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Finding the Fourth Proportional to 6,633.47, 9,154.38 and 3,649.38

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Solution

The fourth proportional to 6,633.47, 9,154.38 and 3,649.38 is: 5,036.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.47 : 9,154.38 = 3,649.38 : x
  2. Step 2: Convert to fraction form
    6,633.47/9,154.38 = 3,649.38/x
  3. Step 3: Cross multiply
    6,633.47x = 9,154.38 × 3,649.38
  4. Step 4: Simplify right side
    6,633.47x = 33,407,811.28
  5. Step 5: Solve for x
    x = 33,407,811.28/6,633.47
  6. Step 6: Final answer
    x = 5,036.25

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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.