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Finding the Fourth Proportional to 6,633.64, 9,154.19 and 3,649.45

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Solution

The fourth proportional to 6,633.64, 9,154.19 and 3,649.45 is: 5,036.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,633.64 : 9,154.19 = 3,649.45 : x
  2. Step 2: Convert to fraction form
    6,633.64/9,154.19 = 3,649.45/x
  3. Step 3: Cross multiply
    6,633.64x = 9,154.19 × 3,649.45
  4. Step 4: Simplify right side
    6,633.64x = 33,407,744.93
  5. Step 5: Solve for x
    x = 33,407,744.93/6,633.64
  6. Step 6: Final answer
    x = 5,036.11

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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.