Home / 7,696.56-11,546.64-3,314.46

Finding the Fourth Proportional to 7,696.56, 11,546.64 and 3,314.46

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Solution

The fourth proportional to 7,696.56, 11,546.64 and 3,314.46 is: 4,972.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,696.56 : 11,546.64 = 3,314.46 : x
  2. Step 2: Convert to fraction form
    7,696.56/11,546.64 = 3,314.46/x
  3. Step 3: Cross multiply
    7,696.56x = 11,546.64 × 3,314.46
  4. Step 4: Simplify right side
    7,696.56x = 38,270,876.41
  5. Step 5: Solve for x
    x = 38,270,876.41/7,696.56
  6. Step 6: Final answer
    x = 4,972.47

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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.