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Finding the Fourth Proportional to 5,230.97, 7,847.66 and 1,533.48

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Solution

The fourth proportional to 5,230.97, 7,847.66 and 1,533.48 is: 2,300.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,230.97 : 7,847.66 = 1,533.48 : x
  2. Step 2: Convert to fraction form
    5,230.97/7,847.66 = 1,533.48/x
  3. Step 3: Cross multiply
    5,230.97x = 7,847.66 × 1,533.48
  4. Step 4: Simplify right side
    5,230.97x = 12,034,221.99
  5. Step 5: Solve for x
    x = 12,034,221.99/5,230.97
  6. Step 6: Final answer
    x = 2,300.57

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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.