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Finding the Fourth Proportional to 11,206.60, 16,788.03 and 6,813.16

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Solution

The fourth proportional to 11,206.60, 16,788.03 and 6,813.16 is: 10,206.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.60 : 16,788.03 = 6,813.16 : x
  2. Step 2: Convert to fraction form
    11,206.60/16,788.03 = 6,813.16/x
  3. Step 3: Cross multiply
    11,206.60x = 16,788.03 × 6,813.16
  4. Step 4: Simplify right side
    11,206.60x = 114,379,534.47
  5. Step 5: Solve for x
    x = 114,379,534.47/11,206.60
  6. Step 6: Final answer
    x = 10,206.44

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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.