Home / 11,074-15,282.12-6,882.24

Finding the Fourth Proportional to 11,074, 15,282.12 and 6,882.24

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Solution

The fourth proportional to 11,074, 15,282.12 and 6,882.24 is: 9,497.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,074 : 15,282.12 = 6,882.24 : x
  2. Step 2: Convert to fraction form
    11,074/15,282.12 = 6,882.24/x
  3. Step 3: Cross multiply
    11,074x = 15,282.12 × 6,882.24
  4. Step 4: Simplify right side
    11,074x = 105,175,217.55
  5. Step 5: Solve for x
    x = 105,175,217.55/11,074
  6. Step 6: Final answer
    x = 9,497.49

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1.5x scale

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.