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Finding the Fourth Proportional to 8,197.75, 11,312.94 and 4,471.75

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Solution

The fourth proportional to 8,197.75, 11,312.94 and 4,471.75 is: 6,171.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,197.75 : 11,312.94 = 4,471.75 : x
  2. Step 2: Convert to fraction form
    8,197.75/11,312.94 = 4,471.75/x
  3. Step 3: Cross multiply
    8,197.75x = 11,312.94 × 4,471.75
  4. Step 4: Simplify right side
    8,197.75x = 50,588,639.45
  5. Step 5: Solve for x
    x = 50,588,639.45/8,197.75
  6. Step 6: Final answer
    x = 6,171.04

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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.