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Finding the Fourth Proportional to 4,615.71, 6,923.37 and 2,149.68

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Solution

The fourth proportional to 4,615.71, 6,923.37 and 2,149.68 is: 3,224.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,615.71 : 6,923.37 = 2,149.68 : x
  2. Step 2: Convert to fraction form
    4,615.71/6,923.37 = 2,149.68/x
  3. Step 3: Cross multiply
    4,615.71x = 6,923.37 × 2,149.68
  4. Step 4: Simplify right side
    4,615.71x = 14,883,030.02
  5. Step 5: Solve for x
    x = 14,883,030.02/4,615.71
  6. Step 6: Final answer
    x = 3,224.43

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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.