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Finding the Fourth Proportional to 11,764.64, 16,230.56 and 7,575.32

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Solution

The fourth proportional to 11,764.64, 16,230.56 and 7,575.32 is: 10,450.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,764.64 : 16,230.56 = 7,575.32 : x
  2. Step 2: Convert to fraction form
    11,764.64/16,230.56 = 7,575.32/x
  3. Step 3: Cross multiply
    11,764.64x = 16,230.56 × 7,575.32
  4. Step 4: Simplify right side
    11,764.64x = 122,951,685.78
  5. Step 5: Solve for x
    x = 122,951,685.78/11,764.64
  6. Step 6: Final answer
    x = 10,450.95

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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.