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Finding the Fourth Proportional to 8,098.91, 12,129.46 and 6,235.23

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Solution

The fourth proportional to 8,098.91, 12,129.46 and 6,235.23 is: 9,338.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,098.91 : 12,129.46 = 6,235.23 : x
  2. Step 2: Convert to fraction form
    8,098.91/12,129.46 = 6,235.23/x
  3. Step 3: Cross multiply
    8,098.91x = 12,129.46 × 6,235.23
  4. Step 4: Simplify right side
    8,098.91x = 75,629,957.29
  5. Step 5: Solve for x
    x = 75,629,957.29/8,098.91
  6. Step 6: Final answer
    x = 9,338.29

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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.