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Finding the Fourth Proportional to 8,503.14, 12,732.78 and 6,829.46

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Solution

The fourth proportional to 8,503.14, 12,732.78 and 6,829.46 is: 10,226.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,503.14 : 12,732.78 = 6,829.46 : x
  2. Step 2: Convert to fraction form
    8,503.14/12,732.78 = 6,829.46/x
  3. Step 3: Cross multiply
    8,503.14x = 12,732.78 × 6,829.46
  4. Step 4: Simplify right side
    8,503.14x = 86,958,011.70
  5. Step 5: Solve for x
    x = 86,958,011.70/8,503.14
  6. Step 6: Final answer
    x = 10,226.58

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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.