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Finding the Fourth Proportional to 7,847.75, 10,829.64 and 4,310.73

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Solution

The fourth proportional to 7,847.75, 10,829.64 and 4,310.73 is: 5,948.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.75 : 10,829.64 = 4,310.73 : x
  2. Step 2: Convert to fraction form
    7,847.75/10,829.64 = 4,310.73/x
  3. Step 3: Cross multiply
    7,847.75x = 10,829.64 × 4,310.73
  4. Step 4: Simplify right side
    7,847.75x = 46,683,654.04
  5. Step 5: Solve for x
    x = 46,683,654.04/7,847.75
  6. Step 6: Final answer
    x = 5,948.67

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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.