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Finding the Fourth Proportional to 11,817.54, 16,308.31 and 6,512.54

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Solution

The fourth proportional to 11,817.54, 16,308.31 and 6,512.54 is: 8,987.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.54 : 16,308.31 = 6,512.54 : x
  2. Step 2: Convert to fraction form
    11,817.54/16,308.31 = 6,512.54/x
  3. Step 3: Cross multiply
    11,817.54x = 16,308.31 × 6,512.54
  4. Step 4: Simplify right side
    11,817.54x = 106,208,545.70
  5. Step 5: Solve for x
    x = 106,208,545.70/11,817.54
  6. Step 6: Final answer
    x = 8,987.37

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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.