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Finding the Fourth Proportional to 11,241.60, 16,838.10 and 9,783.60

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Solution

The fourth proportional to 11,241.60, 16,838.10 and 9,783.60 is: 14,654.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,241.60 : 16,838.10 = 9,783.60 : x
  2. Step 2: Convert to fraction form
    11,241.60/16,838.10 = 9,783.60/x
  3. Step 3: Cross multiply
    11,241.60x = 16,838.10 × 9,783.60
  4. Step 4: Simplify right side
    11,241.60x = 164,737,235.16
  5. Step 5: Solve for x
    x = 164,737,235.16/11,241.60
  6. Step 6: Final answer
    x = 14,654.25

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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.