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Finding the Fourth Proportional to 13,202.88, 19,784.88 and 7,351.44

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Solution

The fourth proportional to 13,202.88, 19,784.88 and 7,351.44 is: 11,016.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,202.88 : 19,784.88 = 7,351.44 : x
  2. Step 2: Convert to fraction form
    13,202.88/19,784.88 = 7,351.44/x
  3. Step 3: Cross multiply
    13,202.88x = 19,784.88 × 7,351.44
  4. Step 4: Simplify right side
    13,202.88x = 145,447,358.23
  5. Step 5: Solve for x
    x = 145,447,358.23/13,202.88
  6. Step 6: Final answer
    x = 11,016.34

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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.