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Finding the Fourth Proportional to 11,232.80, 16,849.20 and 9,045.80

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Solution

The fourth proportional to 11,232.80, 16,849.20 and 9,045.80 is: 13,568.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,232.80 : 16,849.20 = 9,045.80 : x
  2. Step 2: Convert to fraction form
    11,232.80/16,849.20 = 9,045.80/x
  3. Step 3: Cross multiply
    11,232.80x = 16,849.20 × 9,045.80
  4. Step 4: Simplify right side
    11,232.80x = 152,414,493.36
  5. Step 5: Solve for x
    x = 152,414,493.36/11,232.80
  6. Step 6: Final answer
    x = 13,568.70

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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.