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Finding the Fourth Proportional to 11,792.58, 16,265.37 and 9,769.60

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Solution

The fourth proportional to 11,792.58, 16,265.37 and 9,769.60 is: 13,475.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.58 : 16,265.37 = 9,769.60 : x
  2. Step 2: Convert to fraction form
    11,792.58/16,265.37 = 9,769.60/x
  3. Step 3: Cross multiply
    11,792.58x = 16,265.37 × 9,769.60
  4. Step 4: Simplify right side
    11,792.58x = 158,906,158.75
  5. Step 5: Solve for x
    x = 158,906,158.75/11,792.58
  6. Step 6: Final answer
    x = 13,475.10

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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.