Home / 6,748.24-10,114.08-3,829

Finding the Fourth Proportional to 6,748.24, 10,114.08 and 3,829

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Solution

The fourth proportional to 6,748.24, 10,114.08 and 3,829 is: 5,738.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,748.24 : 10,114.08 = 3,829 : x
  2. Step 2: Convert to fraction form
    6,748.24/10,114.08 = 3,829/x
  3. Step 3: Cross multiply
    6,748.24x = 10,114.08 × 3,829
  4. Step 4: Simplify right side
    6,748.24x = 38,726,812.32
  5. Step 5: Solve for x
    x = 38,726,812.32/6,748.24
  6. Step 6: Final answer
    x = 5,738.80

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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.