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Finding the Fourth Proportional to 7,267, 10,028.78 and 4,282.96

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Solution

The fourth proportional to 7,267, 10,028.78 and 4,282.96 is: 5,910.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,267 : 10,028.78 = 4,282.96 : x
  2. Step 2: Convert to fraction form
    7,267/10,028.78 = 4,282.96/x
  3. Step 3: Cross multiply
    7,267x = 10,028.78 × 4,282.96
  4. Step 4: Simplify right side
    7,267x = 42,952,863.59
  5. Step 5: Solve for x
    x = 42,952,863.59/7,267
  6. Step 6: Final answer
    x = 5,910.67

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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.