Home / 10,742-16,101.48-4,500.44

Finding the Fourth Proportional to 10,742, 16,101.48 and 4,500.44

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Solution

The fourth proportional to 10,742, 16,101.48 and 4,500.44 is: 6,745.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,742 : 16,101.48 = 4,500.44 : x
  2. Step 2: Convert to fraction form
    10,742/16,101.48 = 4,500.44/x
  3. Step 3: Cross multiply
    10,742x = 16,101.48 × 4,500.44
  4. Step 4: Simplify right side
    10,742x = 72,463,744.65
  5. Step 5: Solve for x
    x = 72,463,744.65/10,742
  6. Step 6: Final answer
    x = 6,745.83

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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.