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Finding the Fourth Proportional to 13,774.30, 20,649.84 and 5,977.24

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Solution

The fourth proportional to 13,774.30, 20,649.84 and 5,977.24 is: 8,960.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,774.30 : 20,649.84 = 5,977.24 : x
  2. Step 2: Convert to fraction form
    13,774.30/20,649.84 = 5,977.24/x
  3. Step 3: Cross multiply
    13,774.30x = 20,649.84 × 5,977.24
  4. Step 4: Simplify right side
    13,774.30x = 123,429,049.64
  5. Step 5: Solve for x
    x = 123,429,049.64/13,774.30
  6. Step 6: Final answer
    x = 8,960.82

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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.