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Finding the Fourth Proportional to 11,985.96, 16,542.23 and 6,883.48

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Solution

The fourth proportional to 11,985.96, 16,542.23 and 6,883.48 is: 9,500.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,985.96 : 16,542.23 = 6,883.48 : x
  2. Step 2: Convert to fraction form
    11,985.96/16,542.23 = 6,883.48/x
  3. Step 3: Cross multiply
    11,985.96x = 16,542.23 × 6,883.48
  4. Step 4: Simplify right side
    11,985.96x = 113,868,095.62
  5. Step 5: Solve for x
    x = 113,868,095.62/11,985.96
  6. Step 6: Final answer
    x = 9,500.12

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.