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Finding the Fourth Proportional to 7,807.92, 11,713.52 and 4,108.12

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Solution

The fourth proportional to 7,807.92, 11,713.52 and 4,108.12 is: 6,163.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,807.92 : 11,713.52 = 4,108.12 : x
  2. Step 2: Convert to fraction form
    7,807.92/11,713.52 = 4,108.12/x
  3. Step 3: Cross multiply
    7,807.92x = 11,713.52 × 4,108.12
  4. Step 4: Simplify right side
    7,807.92x = 48,120,545.78
  5. Step 5: Solve for x
    x = 48,120,545.78/7,807.92
  6. Step 6: Final answer
    x = 6,163.04

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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.