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Finding the Fourth Proportional to 6,335.28, 9,504.82 and 4,489.94

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Solution

The fourth proportional to 6,335.28, 9,504.82 and 4,489.94 is: 6,736.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,335.28 : 9,504.82 = 4,489.94 : x
  2. Step 2: Convert to fraction form
    6,335.28/9,504.82 = 4,489.94/x
  3. Step 3: Cross multiply
    6,335.28x = 9,504.82 × 4,489.94
  4. Step 4: Simplify right side
    6,335.28x = 42,676,071.51
  5. Step 5: Solve for x
    x = 42,676,071.51/6,335.28
  6. Step 6: Final answer
    x = 6,736.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.