Home / 7,824.66-11,734.50-2,558.46

Finding the Fourth Proportional to 7,824.66, 11,734.50 and 2,558.46

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Solution

The fourth proportional to 7,824.66, 11,734.50 and 2,558.46 is: 3,836.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,824.66 : 11,734.50 = 2,558.46 : x
  2. Step 2: Convert to fraction form
    7,824.66/11,734.50 = 2,558.46/x
  3. Step 3: Cross multiply
    7,824.66x = 11,734.50 × 2,558.46
  4. Step 4: Simplify right side
    7,824.66x = 30,022,248.87
  5. Step 5: Solve for x
    x = 30,022,248.87/7,824.66
  6. Step 6: Final answer
    x = 3,836.88

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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.