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Finding the Fourth Proportional to 8,819.64, 12,174.03 and 7,885.46

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Solution

The fourth proportional to 8,819.64, 12,174.03 and 7,885.46 is: 10,884.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,819.64 : 12,174.03 = 7,885.46 : x
  2. Step 2: Convert to fraction form
    8,819.64/12,174.03 = 7,885.46/x
  3. Step 3: Cross multiply
    8,819.64x = 12,174.03 × 7,885.46
  4. Step 4: Simplify right side
    8,819.64x = 95,997,857.04
  5. Step 5: Solve for x
    x = 95,997,857.04/8,819.64
  6. Step 6: Final answer
    x = 10,884.56

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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.