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Finding the Fourth Proportional to 8,149.87, 11,245.93 and 4,612.38

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Solution

The fourth proportional to 8,149.87, 11,245.93 and 4,612.38 is: 6,364.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,149.87 : 11,245.93 = 4,612.38 : x
  2. Step 2: Convert to fraction form
    8,149.87/11,245.93 = 4,612.38/x
  3. Step 3: Cross multiply
    8,149.87x = 11,245.93 × 4,612.38
  4. Step 4: Simplify right side
    8,149.87x = 51,870,502.61
  5. Step 5: Solve for x
    x = 51,870,502.61/8,149.87
  6. Step 6: Final answer
    x = 6,364.58

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.