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Finding the Fourth Proportional to 11,234.80, 16,852.20 and 9,047.80

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Solution

The fourth proportional to 11,234.80, 16,852.20 and 9,047.80 is: 13,571.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,234.80 : 16,852.20 = 9,047.80 : x
  2. Step 2: Convert to fraction form
    11,234.80/16,852.20 = 9,047.80/x
  3. Step 3: Cross multiply
    11,234.80x = 16,852.20 × 9,047.80
  4. Step 4: Simplify right side
    11,234.80x = 152,475,335.16
  5. Step 5: Solve for x
    x = 152,475,335.16/11,234.80
  6. Step 6: Final answer
    x = 13,571.70

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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.