Home / 7,643.23-11,464.92-2,096.58

Finding the Fourth Proportional to 7,643.23, 11,464.92 and 2,096.58

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Solution

The fourth proportional to 7,643.23, 11,464.92 and 2,096.58 is: 3,144.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,643.23 : 11,464.92 = 2,096.58 : x
  2. Step 2: Convert to fraction form
    7,643.23/11,464.92 = 2,096.58/x
  3. Step 3: Cross multiply
    7,643.23x = 11,464.92 × 2,096.58
  4. Step 4: Simplify right side
    7,643.23x = 24,037,129.84
  5. Step 5: Solve for x
    x = 24,037,129.84/7,643.23
  6. Step 6: Final answer
    x = 3,144.89

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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.