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Finding the Fourth Proportional to 8,193, 12,267.10 and 5,730.28

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Solution

The fourth proportional to 8,193, 12,267.10 and 5,730.28 is: 8,579.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193 : 12,267.10 = 5,730.28 : x
  2. Step 2: Convert to fraction form
    8,193/12,267.10 = 5,730.28/x
  3. Step 3: Cross multiply
    8,193x = 12,267.10 × 5,730.28
  4. Step 4: Simplify right side
    8,193x = 70,293,917.79
  5. Step 5: Solve for x
    x = 70,293,917.79/8,193
  6. Step 6: Final answer
    x = 8,579.75

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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.