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Finding the Fourth Proportional to 10,827.60, 16,241.40 and 9,596.40

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Solution

The fourth proportional to 10,827.60, 16,241.40 and 9,596.40 is: 14,394.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,827.60 : 16,241.40 = 9,596.40 : x
  2. Step 2: Convert to fraction form
    10,827.60/16,241.40 = 9,596.40/x
  3. Step 3: Cross multiply
    10,827.60x = 16,241.40 × 9,596.40
  4. Step 4: Simplify right side
    10,827.60x = 155,858,970.96
  5. Step 5: Solve for x
    x = 155,858,970.96/10,827.60
  6. Step 6: Final answer
    x = 14,394.60

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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.