Home / 10,459.46-14,434.26-5,744

Finding the Fourth Proportional to 10,459.46, 14,434.26 and 5,744

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Solution

The fourth proportional to 10,459.46, 14,434.26 and 5,744 is: 7,926.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,459.46 : 14,434.26 = 5,744 : x
  2. Step 2: Convert to fraction form
    10,459.46/14,434.26 = 5,744/x
  3. Step 3: Cross multiply
    10,459.46x = 14,434.26 × 5,744
  4. Step 4: Simplify right side
    10,459.46x = 82,910,389.44
  5. Step 5: Solve for x
    x = 82,910,389.44/10,459.46
  6. Step 6: Final answer
    x = 7,926.83

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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.