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Finding the Fourth Proportional to 9,243.68, 13,866.90 and 3,399.84

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Solution

The fourth proportional to 9,243.68, 13,866.90 and 3,399.84 is: 5,100.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,243.68 : 13,866.90 = 3,399.84 : x
  2. Step 2: Convert to fraction form
    9,243.68/13,866.90 = 3,399.84/x
  3. Step 3: Cross multiply
    9,243.68x = 13,866.90 × 3,399.84
  4. Step 4: Simplify right side
    9,243.68x = 47,145,228.55
  5. Step 5: Solve for x
    x = 47,145,228.55/9,243.68
  6. Step 6: Final answer
    x = 5,100.27

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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.