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Finding the Fourth Proportional to 6,499.36, 9,737.92 and 5,466.04

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Solution

The fourth proportional to 6,499.36, 9,737.92 and 5,466.04 is: 8,189.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,499.36 : 9,737.92 = 5,466.04 : x
  2. Step 2: Convert to fraction form
    6,499.36/9,737.92 = 5,466.04/x
  3. Step 3: Cross multiply
    6,499.36x = 9,737.92 × 5,466.04
  4. Step 4: Simplify right side
    6,499.36x = 53,227,860.24
  5. Step 5: Solve for x
    x = 53,227,860.24/6,499.36
  6. Step 6: Final answer
    x = 8,189.71

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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.