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Finding the Fourth Proportional to 11,188.83, 16,783.48 and 8,957.31

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Solution

The fourth proportional to 11,188.83, 16,783.48 and 8,957.31 is: 13,436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,188.83 : 16,783.48 = 8,957.31 : x
  2. Step 2: Convert to fraction form
    11,188.83/16,783.48 = 8,957.31/x
  3. Step 3: Cross multiply
    11,188.83x = 16,783.48 × 8,957.31
  4. Step 4: Simplify right side
    11,188.83x = 150,334,781.50
  5. Step 5: Solve for x
    x = 150,334,781.50/11,188.83
  6. Step 6: Final answer
    x = 13,436.14

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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.