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Finding the Fourth Proportional to 8,164.69, 12,247.49 and 4,006.65

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Solution

The fourth proportional to 8,164.69, 12,247.49 and 4,006.65 is: 6,010.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,164.69 : 12,247.49 = 4,006.65 : x
  2. Step 2: Convert to fraction form
    8,164.69/12,247.49 = 4,006.65/x
  3. Step 3: Cross multiply
    8,164.69x = 12,247.49 × 4,006.65
  4. Step 4: Simplify right side
    8,164.69x = 49,071,405.81
  5. Step 5: Solve for x
    x = 49,071,405.81/8,164.69
  6. Step 6: Final answer
    x = 6,010.20

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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.