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Finding the Fourth Proportional to 7,847.74, 11,768.54 and 2,848.92

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Solution

The fourth proportional to 7,847.74, 11,768.54 and 2,848.92 is: 4,272.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.74 : 11,768.54 = 2,848.92 : x
  2. Step 2: Convert to fraction form
    7,847.74/11,768.54 = 2,848.92/x
  3. Step 3: Cross multiply
    7,847.74x = 11,768.54 × 2,848.92
  4. Step 4: Simplify right side
    7,847.74x = 33,527,628.98
  5. Step 5: Solve for x
    x = 33,527,628.98/7,847.74
  6. Step 6: Final answer
    x = 4,272.27

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.