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Finding the Fourth Proportional to 12,406.94, 18,592.74 and 6,160.83

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Solution

The fourth proportional to 12,406.94, 18,592.74 and 6,160.83 is: 9,232.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,406.94 : 18,592.74 = 6,160.83 : x
  2. Step 2: Convert to fraction form
    12,406.94/18,592.74 = 6,160.83/x
  3. Step 3: Cross multiply
    12,406.94x = 18,592.74 × 6,160.83
  4. Step 4: Simplify right side
    12,406.94x = 114,546,640.65
  5. Step 5: Solve for x
    x = 114,546,640.65/12,406.94
  6. Step 6: Final answer
    x = 9,232.47

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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.