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Finding the Fourth Proportional to 11,792.52, 16,273.49 and 6,415.04

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Solution

The fourth proportional to 11,792.52, 16,273.49 and 6,415.04 is: 8,852.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,792.52 : 16,273.49 = 6,415.04 : x
  2. Step 2: Convert to fraction form
    11,792.52/16,273.49 = 6,415.04/x
  3. Step 3: Cross multiply
    11,792.52x = 16,273.49 × 6,415.04
  4. Step 4: Simplify right side
    11,792.52x = 104,395,146.01
  5. Step 5: Solve for x
    x = 104,395,146.01/11,792.52
  6. Step 6: Final answer
    x = 8,852.66

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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.