Home / 6,782.55-10,175.85-3,498

Finding the Fourth Proportional to 6,782.55, 10,175.85 and 3,498

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Solution

The fourth proportional to 6,782.55, 10,175.85 and 3,498 is: 5,248.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.55 : 10,175.85 = 3,498 : x
  2. Step 2: Convert to fraction form
    6,782.55/10,175.85 = 3,498/x
  3. Step 3: Cross multiply
    6,782.55x = 10,175.85 × 3,498
  4. Step 4: Simplify right side
    6,782.55x = 35,595,123.30
  5. Step 5: Solve for x
    x = 35,595,123.30/6,782.55
  6. Step 6: Final answer
    x = 5,248.04

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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.