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Finding the Fourth Proportional to 11,209.29, 16,768.58 and 9,364.11

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Solution

The fourth proportional to 11,209.29, 16,768.58 and 9,364.11 is: 14,008.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,209.29 : 16,768.58 = 9,364.11 : x
  2. Step 2: Convert to fraction form
    11,209.29/16,768.58 = 9,364.11/x
  3. Step 3: Cross multiply
    11,209.29x = 16,768.58 × 9,364.11
  4. Step 4: Simplify right side
    11,209.29x = 157,022,780.84
  5. Step 5: Solve for x
    x = 157,022,780.84/11,209.29
  6. Step 6: Final answer
    x = 14,008.27

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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.