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Finding the Fourth Proportional to 6,496.72, 9,745.12 and 5,192.08

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Solution

The fourth proportional to 6,496.72, 9,745.12 and 5,192.08 is: 7,788.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,496.72 : 9,745.12 = 5,192.08 : x
  2. Step 2: Convert to fraction form
    6,496.72/9,745.12 = 5,192.08/x
  3. Step 3: Cross multiply
    6,496.72x = 9,745.12 × 5,192.08
  4. Step 4: Simplify right side
    6,496.72x = 50,597,442.65
  5. Step 5: Solve for x
    x = 50,597,442.65/6,496.72
  6. Step 6: Final answer
    x = 7,788.15

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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.