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Finding the Fourth Proportional to 11,222.60, 16,809.42 and 9,252.68

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Solution

The fourth proportional to 11,222.60, 16,809.42 and 9,252.68 is: 13,858.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,222.60 : 16,809.42 = 9,252.68 : x
  2. Step 2: Convert to fraction form
    11,222.60/16,809.42 = 9,252.68/x
  3. Step 3: Cross multiply
    11,222.60x = 16,809.42 × 9,252.68
  4. Step 4: Simplify right side
    11,222.60x = 155,532,184.25
  5. Step 5: Solve for x
    x = 155,532,184.25/11,222.60
  6. Step 6: Final answer
    x = 13,858.84

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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.