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Finding the Fourth Proportional to 11,206.40, 16,766.40 and 7,318.40

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Solution

The fourth proportional to 11,206.40, 16,766.40 and 7,318.40 is: 10,949.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,206.40 : 16,766.40 = 7,318.40 : x
  2. Step 2: Convert to fraction form
    11,206.40/16,766.40 = 7,318.40/x
  3. Step 3: Cross multiply
    11,206.40x = 16,766.40 × 7,318.40
  4. Step 4: Simplify right side
    11,206.40x = 122,703,221.76
  5. Step 5: Solve for x
    x = 122,703,221.76/11,206.40
  6. Step 6: Final answer
    x = 10,949.39

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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.