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Finding the Fourth Proportional to 11,201.80, 16,802.70 and 8,285.80

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Solution

The fourth proportional to 11,201.80, 16,802.70 and 8,285.80 is: 12,428.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,201.80 : 16,802.70 = 8,285.80 : x
  2. Step 2: Convert to fraction form
    11,201.80/16,802.70 = 8,285.80/x
  3. Step 3: Cross multiply
    11,201.80x = 16,802.70 × 8,285.80
  4. Step 4: Simplify right side
    11,201.80x = 139,223,811.66
  5. Step 5: Solve for x
    x = 139,223,811.66/11,201.80
  6. Step 6: Final answer
    x = 12,428.70

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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.