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Finding the Fourth Proportional to 8,267.96, 11,410.78 and 4,731.09

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Solution

The fourth proportional to 8,267.96, 11,410.78 and 4,731.09 is: 6,529.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,267.96 : 11,410.78 = 4,731.09 : x
  2. Step 2: Convert to fraction form
    8,267.96/11,410.78 = 4,731.09/x
  3. Step 3: Cross multiply
    8,267.96x = 11,410.78 × 4,731.09
  4. Step 4: Simplify right side
    8,267.96x = 53,985,466.98
  5. Step 5: Solve for x
    x = 53,985,466.98/8,267.96
  6. Step 6: Final answer
    x = 6,529.48

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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.