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Finding the Fourth Proportional to 10,827.96, 16,224.93 and 8,368.80

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Solution

The fourth proportional to 10,827.96, 16,224.93 and 8,368.80 is: 12,540.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.96 : 16,224.93 = 8,368.80 : x
  2. Step 2: Convert to fraction form
    10,827.96/16,224.93 = 8,368.80/x
  3. Step 3: Cross multiply
    10,827.96x = 16,224.93 × 8,368.80
  4. Step 4: Simplify right side
    10,827.96x = 135,783,194.18
  5. Step 5: Solve for x
    x = 135,783,194.18/10,827.96
  6. Step 6: Final answer
    x = 12,540.05

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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.