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Finding the Fourth Proportional to 6,487.81, 8,949.78 and 4,096.92

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Solution

The fourth proportional to 6,487.81, 8,949.78 and 4,096.92 is: 5,651.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,487.81 : 8,949.78 = 4,096.92 : x
  2. Step 2: Convert to fraction form
    6,487.81/8,949.78 = 4,096.92/x
  3. Step 3: Cross multiply
    6,487.81x = 8,949.78 × 4,096.92
  4. Step 4: Simplify right side
    6,487.81x = 36,666,566.24
  5. Step 5: Solve for x
    x = 36,666,566.24/6,487.81
  6. Step 6: Final answer
    x = 5,651.61

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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.