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Finding the Fourth Proportional to 6,337.12, 8,745 and 3,542.56

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Solution

The fourth proportional to 6,337.12, 8,745 and 3,542.56 is: 4,888.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,337.12 : 8,745 = 3,542.56 : x
  2. Step 2: Convert to fraction form
    6,337.12/8,745 = 3,542.56/x
  3. Step 3: Cross multiply
    6,337.12x = 8,745 × 3,542.56
  4. Step 4: Simplify right side
    6,337.12x = 30,979,687.20
  5. Step 5: Solve for x
    x = 30,979,687.20/6,337.12
  6. Step 6: Final answer
    x = 4,888.61

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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.