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Finding the Fourth Proportional to 11,848.82, 17,745.89 and 9,202.55

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Solution

The fourth proportional to 11,848.82, 17,745.89 and 9,202.55 is: 13,782.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,848.82 : 17,745.89 = 9,202.55 : x
  2. Step 2: Convert to fraction form
    11,848.82/17,745.89 = 9,202.55/x
  3. Step 3: Cross multiply
    11,848.82x = 17,745.89 × 9,202.55
  4. Step 4: Simplify right side
    11,848.82x = 163,307,305.28
  5. Step 5: Solve for x
    x = 163,307,305.28/11,848.82
  6. Step 6: Final answer
    x = 13,782.59

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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.