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Finding the Fourth Proportional to 8,846, 13,275.48 and 3,374

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Solution

The fourth proportional to 8,846, 13,275.48 and 3,374 is: 5,063.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,846 : 13,275.48 = 3,374 : x
  2. Step 2: Convert to fraction form
    8,846/13,275.48 = 3,374/x
  3. Step 3: Cross multiply
    8,846x = 13,275.48 × 3,374
  4. Step 4: Simplify right side
    8,846x = 44,791,469.52
  5. Step 5: Solve for x
    x = 44,791,469.52/8,846
  6. Step 6: Final answer
    x = 5,063.47

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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.