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Finding the Fourth Proportional to 6,516.42, 9,732.41 and 5,641.62

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Solution

The fourth proportional to 6,516.42, 9,732.41 and 5,641.62 is: 8,425.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.42 : 9,732.41 = 5,641.62 : x
  2. Step 2: Convert to fraction form
    6,516.42/9,732.41 = 5,641.62/x
  3. Step 3: Cross multiply
    6,516.42x = 9,732.41 × 5,641.62
  4. Step 4: Simplify right side
    6,516.42x = 54,906,530.70
  5. Step 5: Solve for x
    x = 54,906,530.70/6,516.42
  6. Step 6: Final answer
    x = 8,425.87

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.