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Finding the Fourth Proportional to 7,847.74, 10,829.82 and 4,310.92

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Solution

The fourth proportional to 7,847.74, 10,829.82 and 4,310.92 is: 5,949.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,847.74 : 10,829.82 = 4,310.92 : x
  2. Step 2: Convert to fraction form
    7,847.74/10,829.82 = 4,310.92/x
  3. Step 3: Cross multiply
    7,847.74x = 10,829.82 × 4,310.92
  4. Step 4: Simplify right side
    7,847.74x = 46,686,433.49
  5. Step 5: Solve for x
    x = 46,686,433.49/7,847.74
  6. Step 6: Final answer
    x = 5,949.03

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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.