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Finding the Fourth Proportional to 6,542.46, 9,028.10 and 3,709.88

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Solution

The fourth proportional to 6,542.46, 9,028.10 and 3,709.88 is: 5,119.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,542.46 : 9,028.10 = 3,709.88 : x
  2. Step 2: Convert to fraction form
    6,542.46/9,028.10 = 3,709.88/x
  3. Step 3: Cross multiply
    6,542.46x = 9,028.10 × 3,709.88
  4. Step 4: Simplify right side
    6,542.46x = 33,493,167.63
  5. Step 5: Solve for x
    x = 33,493,167.63/6,542.46
  6. Step 6: Final answer
    x = 5,119.35

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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.