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Finding the Fourth Proportional to 11,999.70, 17,968.05 and 8,470.65

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Solution

The fourth proportional to 11,999.70, 17,968.05 and 8,470.65 is: 12,683.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,999.70 : 17,968.05 = 8,470.65 : x
  2. Step 2: Convert to fraction form
    11,999.70/17,968.05 = 8,470.65/x
  3. Step 3: Cross multiply
    11,999.70x = 17,968.05 × 8,470.65
  4. Step 4: Simplify right side
    11,999.70x = 152,201,062.73
  5. Step 5: Solve for x
    x = 152,201,062.73/11,999.70
  6. Step 6: Final answer
    x = 12,683.74

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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.