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Finding the Fourth Proportional to 11,493, 15,852.78 and 8,300.96

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Solution

The fourth proportional to 11,493, 15,852.78 and 8,300.96 is: 11,449.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,493 : 15,852.78 = 8,300.96 : x
  2. Step 2: Convert to fraction form
    11,493/15,852.78 = 8,300.96/x
  3. Step 3: Cross multiply
    11,493x = 15,852.78 × 8,300.96
  4. Step 4: Simplify right side
    11,493x = 131,593,292.67
  5. Step 5: Solve for x
    x = 131,593,292.67/11,493
  6. Step 6: Final answer
    x = 11,449.86

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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.