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Finding the Fourth Proportional to 11,774.46, 16,250.31 and 7,594.86

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Solution

The fourth proportional to 11,774.46, 16,250.31 and 7,594.86 is: 10,481.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,774.46 : 16,250.31 = 7,594.86 : x
  2. Step 2: Convert to fraction form
    11,774.46/16,250.31 = 7,594.86/x
  3. Step 3: Cross multiply
    11,774.46x = 16,250.31 × 7,594.86
  4. Step 4: Simplify right side
    11,774.46x = 123,418,829.41
  5. Step 5: Solve for x
    x = 123,418,829.41/11,774.46
  6. Step 6: Final answer
    x = 10,481.91

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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.