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Finding the Fourth Proportional to 11,969.20, 17,954.58 and 9,773.20

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Solution

The fourth proportional to 11,969.20, 17,954.58 and 9,773.20 is: 14,660.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,969.20 : 17,954.58 = 9,773.20 : x
  2. Step 2: Convert to fraction form
    11,969.20/17,954.58 = 9,773.20/x
  3. Step 3: Cross multiply
    11,969.20x = 17,954.58 × 9,773.20
  4. Step 4: Simplify right side
    11,969.20x = 175,473,701.26
  5. Step 5: Solve for x
    x = 175,473,701.26/11,969.20
  6. Step 6: Final answer
    x = 14,660.44

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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.