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Finding the Fourth Proportional to 8,043.60, 11,103.24 and 7,821.64

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Solution

The fourth proportional to 8,043.60, 11,103.24 and 7,821.64 is: 10,796.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,043.60 : 11,103.24 = 7,821.64 : x
  2. Step 2: Convert to fraction form
    8,043.60/11,103.24 = 7,821.64/x
  3. Step 3: Cross multiply
    8,043.60x = 11,103.24 × 7,821.64
  4. Step 4: Simplify right side
    8,043.60x = 86,845,546.11
  5. Step 5: Solve for x
    x = 86,845,546.11/8,043.60
  6. Step 6: Final answer
    x = 10,796.85

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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.