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Finding the Fourth Proportional to 6,963, 10,448.82 and 4,042.68

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Solution

The fourth proportional to 6,963, 10,448.82 and 4,042.68 is: 6,066.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,963 : 10,448.82 = 4,042.68 : x
  2. Step 2: Convert to fraction form
    6,963/10,448.82 = 4,042.68/x
  3. Step 3: Cross multiply
    6,963x = 10,448.82 × 4,042.68
  4. Step 4: Simplify right side
    6,963x = 42,241,235.64
  5. Step 5: Solve for x
    x = 42,241,235.64/6,963
  6. Step 6: Final answer
    x = 6,066.53

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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.