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Finding the Fourth Proportional to 11,792.64, 16,273.25 and 6,487.64

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Solution

The fourth proportional to 11,792.64, 16,273.25 and 6,487.64 is: 8,952.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.64 : 16,273.25 = 6,487.64 : x
  2. Step 2: Convert to fraction form
    11,792.64/16,273.25 = 6,487.64/x
  3. Step 3: Cross multiply
    11,792.64x = 16,273.25 × 6,487.64
  4. Step 4: Simplify right side
    11,792.64x = 105,575,087.21
  5. Step 5: Solve for x
    x = 105,575,087.21/11,792.64
  6. Step 6: Final answer
    x = 8,952.63

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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.