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Finding the Fourth Proportional to 6,534.57, 9,798.67 and 3,249.52

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Solution

The fourth proportional to 6,534.57, 9,798.67 and 3,249.52 is: 4,872.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,534.57 : 9,798.67 = 3,249.52 : x
  2. Step 2: Convert to fraction form
    6,534.57/9,798.67 = 3,249.52/x
  3. Step 3: Cross multiply
    6,534.57x = 9,798.67 × 3,249.52
  4. Step 4: Simplify right side
    6,534.57x = 31,840,953.70
  5. Step 5: Solve for x
    x = 31,840,953.70/6,534.57
  6. Step 6: Final answer
    x = 4,872.69

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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.