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Finding the Fourth Proportional to 11,594.96, 16,012.40 and 9,906.48

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Solution

The fourth proportional to 11,594.96, 16,012.40 and 9,906.48 is: 13,680.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,594.96 : 16,012.40 = 9,906.48 : x
  2. Step 2: Convert to fraction form
    11,594.96/16,012.40 = 9,906.48/x
  3. Step 3: Cross multiply
    11,594.96x = 16,012.40 × 9,906.48
  4. Step 4: Simplify right side
    11,594.96x = 158,626,520.35
  5. Step 5: Solve for x
    x = 158,626,520.35/11,594.96
  6. Step 6: Final answer
    x = 13,680.64

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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.