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Finding the Fourth Proportional to 4,462.43, 6,693.97 and 1,175.50

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Solution

The fourth proportional to 4,462.43, 6,693.97 and 1,175.50 is: 1,763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,462.43 : 6,693.97 = 1,175.50 : x
  2. Step 2: Convert to fraction form
    4,462.43/6,693.97 = 1,175.50/x
  3. Step 3: Cross multiply
    4,462.43x = 6,693.97 × 1,175.50
  4. Step 4: Simplify right side
    4,462.43x = 7,868,761.74
  5. Step 5: Solve for x
    x = 7,868,761.74/4,462.43
  6. Step 6: Final answer
    x = 1,763.34

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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.