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Finding the Fourth Proportional to 9,209.88, 13,811.94 and 3,661.68

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Solution

The fourth proportional to 9,209.88, 13,811.94 and 3,661.68 is: 5,491.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,209.88 : 13,811.94 = 3,661.68 : x
  2. Step 2: Convert to fraction form
    9,209.88/13,811.94 = 3,661.68/x
  3. Step 3: Cross multiply
    9,209.88x = 13,811.94 × 3,661.68
  4. Step 4: Simplify right side
    9,209.88x = 50,574,904.46
  5. Step 5: Solve for x
    x = 50,574,904.46/9,209.88
  6. Step 6: Final answer
    x = 5,491.37

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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.