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Finding the Fourth Proportional to 4,614.61, 6,923.09 and 1,327.65

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Solution

The fourth proportional to 4,614.61, 6,923.09 and 1,327.65 is: 1,991.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,614.61 : 6,923.09 = 1,327.65 : x
  2. Step 2: Convert to fraction form
    4,614.61/6,923.09 = 1,327.65/x
  3. Step 3: Cross multiply
    4,614.61x = 6,923.09 × 1,327.65
  4. Step 4: Simplify right side
    4,614.61x = 9,191,440.44
  5. Step 5: Solve for x
    x = 9,191,440.44/4,614.61
  6. Step 6: Final answer
    x = 1,991.81

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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.