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Finding the Fourth Proportional to 6,847.76, 10,267.80 and 4,659.44

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Solution

The fourth proportional to 6,847.76, 10,267.80 and 4,659.44 is: 6,986.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.76 : 10,267.80 = 4,659.44 : x
  2. Step 2: Convert to fraction form
    6,847.76/10,267.80 = 4,659.44/x
  3. Step 3: Cross multiply
    6,847.76x = 10,267.80 × 4,659.44
  4. Step 4: Simplify right side
    6,847.76x = 47,842,198.03
  5. Step 5: Solve for x
    x = 47,842,198.03/6,847.76
  6. Step 6: Final answer
    x = 6,986.55

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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.