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Finding the Fourth Proportional to 6,495.36, 9,731.92 and 5,462.04

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Solution

The fourth proportional to 6,495.36, 9,731.92 and 5,462.04 is: 8,183.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,495.36 : 9,731.92 = 5,462.04 : x
  2. Step 2: Convert to fraction form
    6,495.36/9,731.92 = 5,462.04/x
  3. Step 3: Cross multiply
    6,495.36x = 9,731.92 × 5,462.04
  4. Step 4: Simplify right side
    6,495.36x = 53,156,136.32
  5. Step 5: Solve for x
    x = 53,156,136.32/6,495.36
  6. Step 6: Final answer
    x = 8,183.71

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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.