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Finding the Fourth Proportional to 11,878.32, 17,821.80 and 5,640.24

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Solution

The fourth proportional to 11,878.32, 17,821.80 and 5,640.24 is: 8,462.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,878.32 : 17,821.80 = 5,640.24 : x
  2. Step 2: Convert to fraction form
    11,878.32/17,821.80 = 5,640.24/x
  3. Step 3: Cross multiply
    11,878.32x = 17,821.80 × 5,640.24
  4. Step 4: Simplify right side
    11,878.32x = 100,519,229.23
  5. Step 5: Solve for x
    x = 100,519,229.23/11,878.32
  6. Step 6: Final answer
    x = 8,462.41

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1.5x scale

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.