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Finding the Fourth Proportional to 8,175, 11,282.46 and 4,863

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Solution

The fourth proportional to 8,175, 11,282.46 and 4,863 is: 6,711.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,175 : 11,282.46 = 4,863 : x
  2. Step 2: Convert to fraction form
    8,175/11,282.46 = 4,863/x
  3. Step 3: Cross multiply
    8,175x = 11,282.46 × 4,863
  4. Step 4: Simplify right side
    8,175x = 54,866,602.98
  5. Step 5: Solve for x
    x = 54,866,602.98/8,175
  6. Step 6: Final answer
    x = 6,711.51

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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.