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Finding the Fourth Proportional to 7,696, 10,620.48 and 4,384

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Solution

The fourth proportional to 7,696, 10,620.48 and 4,384 is: 6,049.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696 : 10,620.48 = 4,384 : x
  2. Step 2: Convert to fraction form
    7,696/10,620.48 = 4,384/x
  3. Step 3: Cross multiply
    7,696x = 10,620.48 × 4,384
  4. Step 4: Simplify right side
    7,696x = 46,560,184.32
  5. Step 5: Solve for x
    x = 46,560,184.32/7,696
  6. Step 6: Final answer
    x = 6,049.92

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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.