Home / 9,214.16-13,824.68-5,519

Finding the Fourth Proportional to 9,214.16, 13,824.68 and 5,519

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Solution

The fourth proportional to 9,214.16, 13,824.68 and 5,519 is: 8,280.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,214.16 : 13,824.68 = 5,519 : x
  2. Step 2: Convert to fraction form
    9,214.16/13,824.68 = 5,519/x
  3. Step 3: Cross multiply
    9,214.16x = 13,824.68 × 5,519
  4. Step 4: Simplify right side
    9,214.16x = 76,298,408.92
  5. Step 5: Solve for x
    x = 76,298,408.92/9,214.16
  6. Step 6: Final answer
    x = 8,280.56

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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.